Problem 1: What causes what?

Problem 2: Tree modeling: dengue cases

Problem 3: Predictive model building: green certification

problem 4: Predictive model building: California housing

Our purpose is to build the best predictive model to forecast the median house value in California. According to the topic description, in the beginning, we have to conduct standardized processing for “totalRooms” and totalBedrooms" by creating the new variables including “sdrooms” and “sdbedrooms”. Then we utilized three different methods including Step wise, Random Forecast and boost, to build the best predictive model.

##   longitude latitude housingMedianAge totalRooms totalBedrooms population
## 1   -122.23    37.88               41        880           129        322
## 2   -122.22    37.86               21       7099          1106       2401
## 3   -122.24    37.85               52       1467           190        496
## 4   -122.25    37.85               52       1274           235        558
## 5   -122.25    37.85               52       1627           280        565
## 6   -122.25    37.85               52        919           213        413
##   households medianIncome medianHouseValue
## 1        126       8.3252           452600
## 2       1138       8.3014           358500
## 3        177       7.2574           352100
## 4        219       5.6431           341300
## 5        259       3.8462           342200
## 6        193       4.0368           269700
## 
## Call:
## lm(formula = medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome, data = cahousing_train)
## 
## Coefficients:
##      (Intercept)         longitude          latitude  housingMedianAge  
##       -3.650e+06        -4.303e+04        -4.194e+04         9.734e+02  
##          sdrooms        sdbedrooms        population      medianIncome  
##       -1.022e+04         6.102e+04        -9.665e-01         4.327e+04
## Start:  AIC=323316.3
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome
## 
##                                 Df  Sum of Sq        RSS    AIC
## + sdbedrooms:population          1 7.2614e+11 7.4884e+13 323179
## + sdrooms:medianIncome           1 3.2017e+11 7.5290e+13 323257
## + housingMedianAge:medianIncome  1 2.6938e+11 7.5341e+13 323267
## + sdrooms:sdbedrooms             1 2.5462e+11 7.5355e+13 323270
## + sdbedrooms:medianIncome        1 2.5130e+11 7.5359e+13 323270
## + latitude:medianIncome          1 1.6465e+11 7.5445e+13 323287
## + population:medianIncome        1 1.2138e+11 7.5489e+13 323295
## + housingMedianAge:sdbedrooms    1 8.2896e+10 7.5527e+13 323302
## + housingMedianAge:sdrooms       1 6.7501e+10 7.5543e+13 323305
## + longitude:housingMedianAge     1 6.4677e+10 7.5545e+13 323306
## + latitude:sdbedrooms            1 6.1324e+10 7.5549e+13 323307
## + latitude:housingMedianAge      1 3.3047e+10 7.5577e+13 323312
## + longitude:medianIncome         1 1.2929e+10 7.5597e+13 323316
## <none>                                        7.5610e+13 323316
## + longitude:population           1 9.4516e+09 7.5601e+13 323316
## + longitude:sdbedrooms           1 7.7700e+09 7.5602e+13 323317
## + sdrooms:population             1 7.3483e+09 7.5603e+13 323317
## + latitude:sdrooms               1 5.7590e+09 7.5604e+13 323317
## - population                     1 1.5226e+10 7.5625e+13 323317
## + housingMedianAge:population    1 5.5232e+09 7.5605e+13 323317
## + latitude:population            1 3.1807e+09 7.5607e+13 323318
## + longitude:sdrooms              1 7.7384e+08 7.5609e+13 323318
## + longitude:latitude             1 3.2338e+08 7.5610e+13 323318
## - sdrooms                        1 1.1339e+12 7.6744e+13 323529
## - housingMedianAge               1 1.7634e+12 7.7373e+13 323647
## - sdbedrooms                     1 1.7943e+12 7.7404e+13 323653
## - longitude                      1 1.2070e+13 8.7680e+13 325454
## - latitude                       1 1.2658e+13 8.8268e+13 325550
## - medianIncome                   1 3.9661e+13 1.1527e+14 329407
## 
## Step:  AIC=323178.9
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population
## 
##                                 Df  Sum of Sq        RSS    AIC
## + sdrooms:medianIncome           1 3.9304e+11 7.4491e+13 323105
## + sdbedrooms:medianIncome        1 2.6627e+11 7.4618e+13 323129
## + housingMedianAge:medianIncome  1 2.5060e+11 7.4633e+13 323132
## + latitude:sdrooms               1 1.7716e+11 7.4707e+13 323147
## + latitude:medianIncome          1 1.6720e+11 7.4717e+13 323149
## + population:medianIncome        1 1.4267e+11 7.4741e+13 323153
## + sdrooms:population             1 1.1290e+11 7.4771e+13 323159
## + latitude:housingMedianAge      1 5.9886e+10 7.4824e+13 323169
## + longitude:sdrooms              1 3.0930e+10 7.4853e+13 323175
## + longitude:housingMedianAge     1 2.6036e+10 7.4858e+13 323176
## + latitude:sdbedrooms            1 2.2093e+10 7.4862e+13 323177
## + longitude:sdbedrooms           1 1.9947e+10 7.4864e+13 323177
## + longitude:population           1 1.8519e+10 7.4865e+13 323177
## + longitude:medianIncome         1 1.4546e+10 7.4869e+13 323178
## + sdrooms:sdbedrooms             1 1.3592e+10 7.4870e+13 323178
## <none>                                        7.4884e+13 323179
## + housingMedianAge:sdrooms       1 5.0097e+09 7.4879e+13 323180
## + housingMedianAge:sdbedrooms    1 4.3029e+09 7.4880e+13 323180
## + latitude:population            1 3.3559e+09 7.4881e+13 323180
## + longitude:latitude             1 1.2831e+09 7.4883e+13 323181
## + housingMedianAge:population    1 5.0362e+08 7.4883e+13 323181
## - sdbedrooms:population          1 7.2614e+11 7.5610e+13 323316
## - sdrooms                        1 1.0705e+12 7.5954e+13 323382
## - housingMedianAge               1 1.9535e+12 7.6837e+13 323549
## - longitude                      1 1.2576e+13 8.7460e+13 325420
## - latitude                       1 1.3128e+13 8.8012e+13 325511
## - medianIncome                   1 3.9935e+13 1.1482e+14 329352
## 
## Step:  AIC=323104.8
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome
## 
##                                 Df  Sum of Sq        RSS    AIC
## + housingMedianAge:medianIncome  1 1.8765e+11 7.4303e+13 323070
## + latitude:sdrooms               1 1.6025e+11 7.4331e+13 323076
## + latitude:medianIncome          1 1.5211e+11 7.4339e+13 323077
## + population:medianIncome        1 1.1276e+11 7.4378e+13 323085
## + sdrooms:population             1 1.1074e+11 7.4380e+13 323085
## + latitude:housingMedianAge      1 5.6595e+10 7.4434e+13 323096
## + longitude:sdrooms              1 5.6026e+10 7.4435e+13 323096
## + longitude:sdbedrooms           1 4.4016e+10 7.4447e+13 323098
## + latitude:sdbedrooms            1 2.8727e+10 7.4462e+13 323101
## + longitude:housingMedianAge     1 2.6168e+10 7.4465e+13 323102
## + housingMedianAge:sdrooms       1 1.9874e+10 7.4471e+13 323103
## + longitude:population           1 1.4564e+10 7.4476e+13 323104
## + longitude:medianIncome         1 1.2210e+10 7.4479e+13 323104
## + sdrooms:sdbedrooms             1 1.0743e+10 7.4480e+13 323105
## <none>                                        7.4491e+13 323105
## + sdbedrooms:medianIncome        1 9.3301e+09 7.4482e+13 323105
## + housingMedianAge:sdbedrooms    1 1.8617e+09 7.4489e+13 323106
## + latitude:population            1 1.7838e+09 7.4489e+13 323106
## + longitude:latitude             1 1.0861e+09 7.4490e+13 323107
## + housingMedianAge:population    1 5.4790e+05 7.4491e+13 323107
## - sdrooms:medianIncome           1 3.9304e+11 7.4884e+13 323179
## - sdbedrooms:population          1 7.9901e+11 7.5290e+13 323257
## - housingMedianAge               1 2.0193e+12 7.6510e+13 323489
## - longitude                      1 1.2077e+13 8.6568e+13 325273
## - latitude                       1 1.2598e+13 8.7089e+13 325360
## 
## Step:  AIC=323070.4
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome + housingMedianAge:medianIncome
## 
##                                 Df  Sum of Sq        RSS    AIC
## + population:medianIncome        1 2.2479e+11 7.4078e+13 323029
## + latitude:medianIncome          1 1.8017e+11 7.4123e+13 323037
## + latitude:sdrooms               1 1.4407e+11 7.4159e+13 323044
## + housingMedianAge:sdrooms       1 1.1919e+11 7.4184e+13 323049
## + sdrooms:population             1 6.3569e+10 7.4240e+13 323060
## + longitude:sdrooms              1 4.2783e+10 7.4260e+13 323064
## + longitude:sdbedrooms           1 4.1822e+10 7.4261e+13 323064
## + latitude:housingMedianAge      1 3.8698e+10 7.4264e+13 323065
## + longitude:housingMedianAge     1 3.0196e+10 7.4273e+13 323067
## + longitude:medianIncome         1 2.7947e+10 7.4275e+13 323067
## + latitude:sdbedrooms            1 2.6640e+10 7.4277e+13 323067
## + longitude:population           1 1.6297e+10 7.4287e+13 323069
## + sdrooms:sdbedrooms             1 1.1207e+10 7.4292e+13 323070
## <none>                                        7.4303e+13 323070
## + sdbedrooms:medianIncome        1 5.9715e+09 7.4297e+13 323071
## + latitude:population            1 1.6278e+09 7.4302e+13 323072
## + longitude:latitude             1 1.0455e+09 7.4302e+13 323072
## + housingMedianAge:sdbedrooms    1 7.1356e+08 7.4302e+13 323072
## + housingMedianAge:population    1 1.8427e+07 7.4303e+13 323072
## - housingMedianAge:medianIncome  1 1.8765e+11 7.4491e+13 323105
## - sdrooms:medianIncome           1 3.3010e+11 7.4633e+13 323132
## - sdbedrooms:population          1 7.7548e+11 7.5079e+13 323218
## - longitude                      1 1.2252e+13 8.6555e+13 325273
## - latitude                       1 1.2781e+13 8.7084e+13 325361
## 
## Step:  AIC=323028.6
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome
## 
##                                 Df  Sum of Sq        RSS    AIC
## + sdrooms:population             1 7.1842e+11 7.3360e+13 322890
## + latitude:sdrooms               1 1.7486e+11 7.3904e+13 322996
## + latitude:medianIncome          1 1.4857e+11 7.3930e+13 323002
## + housingMedianAge:sdrooms       1 1.1648e+11 7.3962e+13 323008
## + longitude:sdrooms              1 5.1291e+10 7.4027e+13 323021
## + latitude:housingMedianAge      1 4.1833e+10 7.4037e+13 323022
## + longitude:sdbedrooms           1 4.1124e+10 7.4037e+13 323023
## + latitude:sdbedrooms            1 2.9506e+10 7.4049e+13 323025
## + longitude:housingMedianAge     1 2.8078e+10 7.4050e+13 323025
## + housingMedianAge:population    1 1.9505e+10 7.4059e+13 323027
## + longitude:medianIncome         1 1.7839e+10 7.4061e+13 323027
## <none>                                        7.4078e+13 323029
## + longitude:population           1 8.0770e+09 7.4070e+13 323029
## + sdbedrooms:medianIncome        1 7.1941e+09 7.4071e+13 323029
## + sdrooms:sdbedrooms             1 7.1927e+09 7.4071e+13 323029
## + longitude:latitude             1 1.6122e+09 7.4077e+13 323030
## + latitude:population            1 6.1762e+08 7.4078e+13 323031
## + housingMedianAge:sdbedrooms    1 4.8647e+08 7.4078e+13 323031
## - population:medianIncome        1 2.2479e+11 7.4303e+13 323070
## - sdrooms:medianIncome           1 2.7358e+11 7.4352e+13 323080
## - housingMedianAge:medianIncome  1 2.9969e+11 7.4378e+13 323085
## - sdbedrooms:population          1 7.9360e+11 7.4872e+13 323181
## - longitude                      1 1.2302e+13 8.6381e+13 325246
## - latitude                       1 1.2876e+13 8.6954e+13 325342
## 
## Step:  AIC=322889.8
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome + 
##     sdrooms:population
## 
##                                 Df  Sum of Sq        RSS    AIC
## + latitude:medianIncome          1 1.5890e+11 7.3201e+13 322861
## + housingMedianAge:sdrooms       1 1.1421e+11 7.3246e+13 322869
## + latitude:sdrooms               1 7.6993e+10 7.3283e+13 322877
## + latitude:housingMedianAge      1 4.2968e+10 7.3317e+13 322883
## + longitude:sdbedrooms           1 3.7775e+10 7.3322e+13 322884
## + longitude:housingMedianAge     1 3.6034e+10 7.3324e+13 322885
## + longitude:sdrooms              1 2.5155e+10 7.3335e+13 322887
## + latitude:sdbedrooms            1 2.3701e+10 7.3336e+13 322887
## + longitude:medianIncome         1 2.3132e+10 7.3337e+13 322887
## + housingMedianAge:population    1 1.3374e+10 7.3347e+13 322889
## <none>                                        7.3360e+13 322890
## + sdrooms:sdbedrooms             1 6.7018e+09 7.3353e+13 322891
## + latitude:population            1 5.8910e+09 7.3354e+13 322891
## + longitude:population           1 1.6306e+09 7.3358e+13 322892
## + sdbedrooms:medianIncome        1 1.6187e+09 7.3358e+13 322892
## + housingMedianAge:sdbedrooms    1 2.3329e+08 7.3360e+13 322892
## + longitude:latitude             1 5.3005e+07 7.3360e+13 322892
## - sdrooms:medianIncome           1 2.0576e+11 7.3566e+13 322928
## - housingMedianAge:medianIncome  1 3.0545e+11 7.3665e+13 322948
## - sdrooms:population             1 7.1842e+11 7.4078e+13 323029
## - population:medianIncome        1 8.7965e+11 7.4240e+13 323060
## - sdbedrooms:population          1 1.4955e+12 7.4855e+13 323179
## - longitude                      1 1.1736e+13 8.5096e+13 325032
## - latitude                       1 1.2203e+13 8.5563e+13 325111
## 
## Step:  AIC=322860.5
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome + 
##     sdrooms:population + latitude:medianIncome
## 
##                                 Df  Sum of Sq        RSS    AIC
## + longitude:medianIncome         1 5.7830e+11 7.2623e+13 322748
## + latitude:sdrooms               1 1.9571e+11 7.3005e+13 322824
## + housingMedianAge:sdrooms       1 1.2517e+11 7.3076e+13 322838
## + longitude:sdrooms              1 9.9794e+10 7.3101e+13 322843
## + latitude:housingMedianAge      1 6.9034e+10 7.3132e+13 322849
## + longitude:sdbedrooms           1 2.4475e+10 7.3177e+13 322858
## + longitude:housingMedianAge     1 2.2308e+10 7.3179e+13 322858
## + latitude:sdbedrooms            1 1.5819e+10 7.3185e+13 322859
## + housingMedianAge:population    1 1.2709e+10 7.3188e+13 322860
## <none>                                        7.3201e+13 322861
## + latitude:population            1 9.3683e+09 7.3192e+13 322861
## + sdrooms:sdbedrooms             1 7.4008e+09 7.3194e+13 322861
## + longitude:population           1 3.2743e+09 7.3198e+13 322862
## + longitude:latitude             1 1.7749e+09 7.3199e+13 322862
## + sdbedrooms:medianIncome        1 1.5562e+09 7.3200e+13 322862
## + housingMedianAge:sdbedrooms    1 3.2629e+07 7.3201e+13 322862
## - latitude:medianIncome          1 1.5890e+11 7.3360e+13 322890
## - sdrooms:medianIncome           1 1.9442e+11 7.3395e+13 322897
## - housingMedianAge:medianIncome  1 3.2730e+11 7.3528e+13 322923
## - sdrooms:population             1 7.2876e+11 7.3930e+13 323002
## - population:medianIncome        1 8.4167e+11 7.4043e+13 323024
## - sdbedrooms:population          1 1.5026e+12 7.4704e+13 323152
## - longitude                      1 1.1787e+13 8.4988e+13 325015
## 
## Step:  AIC=322747.9
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome + 
##     sdrooms:population + latitude:medianIncome + longitude:medianIncome
## 
##                                 Df  Sum of Sq        RSS    AIC
## + latitude:sdrooms               1 2.1746e+11 7.2405e+13 322707
## + housingMedianAge:sdrooms       1 1.6426e+11 7.2459e+13 322717
## + latitude:housingMedianAge      1 1.0036e+11 7.2522e+13 322730
## + sdbedrooms:medianIncome        1 6.3356e+10 7.2559e+13 322737
## + longitude:sdrooms              1 6.0588e+10 7.2562e+13 322738
## + longitude:sdbedrooms           1 3.5931e+10 7.2587e+13 322743
## + longitude:housingMedianAge     1 2.3592e+10 7.2599e+13 322745
## + latitude:sdbedrooms            1 2.0188e+10 7.2603e+13 322746
## + housingMedianAge:population    1 1.5991e+10 7.2607e+13 322747
## + latitude:population            1 1.5223e+10 7.2608e+13 322747
## <none>                                        7.2623e+13 322748
## + sdrooms:sdbedrooms             1 8.2631e+09 7.2615e+13 322748
## + longitude:population           1 5.1115e+09 7.2618e+13 322749
## + longitude:latitude             1 2.6983e+09 7.2620e+13 322749
## + housingMedianAge:sdbedrooms    1 2.3258e+08 7.2623e+13 322750
## - housingMedianAge:medianIncome  1 1.7876e+11 7.2802e+13 322781
## - sdrooms:medianIncome           1 1.8340e+11 7.2806e+13 322782
## - longitude:medianIncome         1 5.7830e+11 7.3201e+13 322861
## - sdrooms:population             1 6.9822e+11 7.3321e+13 322884
## - latitude:medianIncome          1 7.1407e+11 7.3337e+13 322887
## - population:medianIncome        1 7.8612e+11 7.3409e+13 322901
## - sdbedrooms:population          1 1.4551e+12 7.4078e+13 323033
## 
## Step:  AIC=322706.6
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome + 
##     sdrooms:population + latitude:medianIncome + longitude:medianIncome + 
##     latitude:sdrooms
## 
##                                 Df  Sum of Sq        RSS    AIC
## + latitude:sdbedrooms            1 3.3839e+11 7.2067e+13 322641
## + housingMedianAge:sdrooms       1 2.3926e+11 7.2166e+13 322661
## + longitude:sdrooms              1 1.3500e+11 7.2270e+13 322682
## + longitude:sdbedrooms           1 9.2216e+10 7.2313e+13 322690
## + latitude:housingMedianAge      1 6.7388e+10 7.2338e+13 322695
## + sdbedrooms:medianIncome        1 5.7489e+10 7.2348e+13 322697
## + sdrooms:sdbedrooms             1 5.3345e+10 7.2352e+13 322698
## + longitude:housingMedianAge     1 4.6251e+10 7.2359e+13 322699
## + latitude:population            1 2.3416e+10 7.2382e+13 322704
## + housingMedianAge:sdbedrooms    1 1.3643e+10 7.2392e+13 322706
## + longitude:population           1 1.1897e+10 7.2393e+13 322706
## <none>                                        7.2405e+13 322707
## + housingMedianAge:population    1 9.7460e+09 7.2396e+13 322707
## + longitude:latitude             1 1.7459e+09 7.2404e+13 322708
## - sdrooms:medianIncome           1 1.6925e+11 7.2575e+13 322738
## - housingMedianAge:medianIncome  1 1.7263e+11 7.2578e+13 322739
## - latitude:sdrooms               1 2.1746e+11 7.2623e+13 322748
## - sdrooms:population             1 5.4749e+11 7.2953e+13 322813
## - longitude:medianIncome         1 6.0005e+11 7.3005e+13 322824
## - population:medianIncome        1 7.0618e+11 7.3112e+13 322845
## - latitude:medianIncome          1 8.1288e+11 7.3218e+13 322866
## - sdbedrooms:population          1 1.6395e+12 7.4045e+13 323028
## 
## Step:  AIC=322640.9
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome + 
##     sdrooms:population + latitude:medianIncome + longitude:medianIncome + 
##     latitude:sdrooms + latitude:sdbedrooms
## 
##                                 Df  Sum of Sq        RSS    AIC
## + housingMedianAge:sdrooms       1 1.7538e+11 7.1892e+13 322608
## + sdbedrooms:medianIncome        1 1.2847e+11 7.1938e+13 322617
## + longitude:sdrooms              1 8.5698e+10 7.1981e+13 322626
## + longitude:housingMedianAge     1 5.9261e+10 7.2008e+13 322631
## + latitude:housingMedianAge      1 5.3835e+10 7.2013e+13 322632
## + longitude:sdbedrooms           1 2.6762e+10 7.2040e+13 322638
## + sdrooms:sdbedrooms             1 2.6524e+10 7.2040e+13 322638
## + latitude:population            1 1.7842e+10 7.2049e+13 322639
## <none>                                        7.2067e+13 322641
## + longitude:population           1 9.0328e+09 7.2058e+13 322641
## + housingMedianAge:population    1 6.1269e+09 7.2061e+13 322642
## + longitude:latitude             1 4.2560e+09 7.2063e+13 322642
## + housingMedianAge:sdbedrooms    1 2.0762e+09 7.2065e+13 322643
## - sdrooms:medianIncome           1 1.0469e+11 7.2172e+13 322660
## - housingMedianAge:medianIncome  1 1.7543e+11 7.2242e+13 322674
## - sdrooms:population             1 3.0220e+11 7.2369e+13 322699
## - latitude:sdbedrooms            1 3.3839e+11 7.2405e+13 322707
## - population:medianIncome        1 5.3033e+11 7.2597e+13 322745
## - latitude:sdrooms               1 5.3566e+11 7.2603e+13 322746
## - longitude:medianIncome         1 6.1200e+11 7.2679e+13 322761
## - sdbedrooms:population          1 9.8932e+11 7.3056e+13 322836
## - latitude:medianIncome          1 1.0424e+12 7.3109e+13 322846
## 
## Step:  AIC=322607.7
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome + 
##     sdrooms:population + latitude:medianIncome + longitude:medianIncome + 
##     latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms
## 
##                                 Df  Sum of Sq        RSS    AIC
## + housingMedianAge:sdbedrooms    1 4.7493e+11 7.1417e+13 322514
## + sdbedrooms:medianIncome        1 1.6489e+11 7.1727e+13 322577
## + longitude:housingMedianAge     1 6.3341e+10 7.1828e+13 322597
## + longitude:sdrooms              1 5.2168e+10 7.1839e+13 322599
## + longitude:sdbedrooms           1 3.8342e+10 7.1853e+13 322602
## + latitude:housingMedianAge      1 3.3238e+10 7.1858e+13 322603
## + latitude:population            1 2.0375e+10 7.1871e+13 322606
## + sdrooms:sdbedrooms             1 1.3947e+10 7.1878e+13 322607
## + housingMedianAge:population    1 1.1749e+10 7.1880e+13 322607
## <none>                                        7.1892e+13 322608
## + longitude:population           1 9.0349e+09 7.1883e+13 322608
## + longitude:latitude             1 2.7399e+09 7.1889e+13 322609
## - sdrooms:medianIncome           1 1.2754e+11 7.2019e+13 322631
## - housingMedianAge:sdrooms       1 1.7538e+11 7.2067e+13 322641
## - latitude:sdbedrooms            1 2.7450e+11 7.2166e+13 322661
## - housingMedianAge:medianIncome  1 2.9867e+11 7.2190e+13 322666
## - sdrooms:population             1 3.0309e+11 7.2195e+13 322666
## - latitude:sdrooms               1 5.1413e+11 7.2406e+13 322709
## - population:medianIncome        1 5.2632e+11 7.2418e+13 322711
## - longitude:medianIncome         1 6.5650e+11 7.2548e+13 322737
## - sdbedrooms:population          1 8.8599e+11 7.2778e+13 322783
## - latitude:medianIncome          1 1.0930e+12 7.2985e+13 322824
## 
## Step:  AIC=322514
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome + 
##     sdrooms:population + latitude:medianIncome + longitude:medianIncome + 
##     latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms + 
##     housingMedianAge:sdbedrooms
## 
##                                 Df  Sum of Sq        RSS    AIC
## + sdbedrooms:medianIncome        1 1.4670e+11 7.1270e+13 322486
## + longitude:housingMedianAge     1 7.2651e+10 7.1344e+13 322501
## + longitude:sdbedrooms           1 3.5329e+10 7.1381e+13 322509
## + sdrooms:sdbedrooms             1 2.7054e+10 7.1390e+13 322510
## + longitude:sdrooms              1 2.5550e+10 7.1391e+13 322511
## + housingMedianAge:population    1 1.8807e+10 7.1398e+13 322512
## + latitude:housingMedianAge      1 1.5427e+10 7.1401e+13 322513
## + latitude:population            1 1.1335e+10 7.1405e+13 322514
## <none>                                        7.1417e+13 322514
## + longitude:population           1 6.1767e+09 7.1410e+13 322515
## + longitude:latitude             1 2.3672e+09 7.1414e+13 322515
## - sdrooms:medianIncome           1 2.3229e+11 7.1649e+13 322559
## - latitude:sdbedrooms            1 2.9168e+11 7.1708e+13 322571
## - sdrooms:population             1 3.8112e+11 7.1798e+13 322589
## - latitude:sdrooms               1 4.6709e+11 7.1884e+13 322606
## - housingMedianAge:sdbedrooms    1 4.7493e+11 7.1892e+13 322608
## - population:medianIncome        1 5.9744e+11 7.2014e+13 322632
## - housingMedianAge:sdrooms       1 6.4823e+11 7.2065e+13 322643
## - longitude:medianIncome         1 7.2587e+11 7.2142e+13 322658
## - housingMedianAge:medianIncome  1 7.3644e+11 7.2153e+13 322660
## - sdbedrooms:population          1 9.9439e+11 7.2411e+13 322712
## - latitude:medianIncome          1 1.1692e+12 7.2586e+13 322747
## 
## Step:  AIC=322486.3
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome + 
##     sdrooms:population + latitude:medianIncome + longitude:medianIncome + 
##     latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms + 
##     housingMedianAge:sdbedrooms + sdbedrooms:medianIncome
## 
##                                 Df  Sum of Sq        RSS    AIC
## + longitude:housingMedianAge     1 7.2166e+10 7.1198e+13 322474
## + longitude:sdrooms              1 4.2404e+10 7.1228e+13 322480
## + sdrooms:sdbedrooms             1 4.1146e+10 7.1229e+13 322480
## + longitude:sdbedrooms           1 2.7408e+10 7.1243e+13 322483
## + housingMedianAge:population    1 1.8911e+10 7.1251e+13 322484
## + latitude:housingMedianAge      1 1.5982e+10 7.1254e+13 322485
## <none>                                        7.1270e+13 322486
## + latitude:population            1 9.5682e+09 7.1260e+13 322486
## + longitude:population           1 4.4679e+09 7.1265e+13 322487
## + longitude:latitude             1 1.8417e+09 7.1268e+13 322488
## - sdbedrooms:medianIncome        1 1.4670e+11 7.1417e+13 322514
## - latitude:sdbedrooms            1 3.5964e+11 7.1630e+13 322557
## - sdrooms:medianIncome           1 3.7381e+11 7.1644e+13 322560
## - sdrooms:population             1 4.2119e+11 7.1691e+13 322569
## - housingMedianAge:sdbedrooms    1 4.5674e+11 7.1727e+13 322577
## - latitude:sdrooms               1 5.4078e+11 7.1811e+13 322593
## - population:medianIncome        1 6.2780e+11 7.1898e+13 322611
## - housingMedianAge:sdrooms       1 6.6115e+11 7.1931e+13 322618
## - housingMedianAge:medianIncome  1 7.3939e+11 7.2009e+13 322633
## - longitude:medianIncome         1 8.5560e+11 7.2126e+13 322657
## - sdbedrooms:population          1 1.0139e+12 7.2284e+13 322688
## - latitude:medianIncome          1 1.3138e+12 7.2584e+13 322748
## 
## Step:  AIC=322473.6
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome + 
##     sdrooms:population + latitude:medianIncome + longitude:medianIncome + 
##     latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms + 
##     housingMedianAge:sdbedrooms + sdbedrooms:medianIncome + longitude:housingMedianAge
## 
##                                 Df  Sum of Sq        RSS    AIC
## + latitude:housingMedianAge      1 1.4260e+12 6.9772e+13 322183
## + sdrooms:sdbedrooms             1 4.6025e+10 7.1152e+13 322466
## + longitude:sdrooms              1 3.5169e+10 7.1163e+13 322468
## + longitude:sdbedrooms           1 3.1481e+10 7.1166e+13 322469
## + latitude:population            1 3.1381e+10 7.1166e+13 322469
## + longitude:population           1 2.3134e+10 7.1175e+13 322471
## + housingMedianAge:population    1 1.2325e+10 7.1185e+13 322473
## <none>                                        7.1198e+13 322474
## + longitude:latitude             1 6.7643e+09 7.1191e+13 322474
## - longitude:housingMedianAge     1 7.2166e+10 7.1270e+13 322486
## - sdbedrooms:medianIncome        1 1.4622e+11 7.1344e+13 322501
## - sdrooms:medianIncome           1 3.7215e+11 7.1570e+13 322547
## - latitude:sdbedrooms            1 3.7351e+11 7.1571e+13 322547
## - sdrooms:population             1 4.1789e+11 7.1616e+13 322556
## - housingMedianAge:sdbedrooms    1 4.6587e+11 7.1664e+13 322566
## - latitude:sdrooms               1 5.7504e+11 7.1773e+13 322588
## - population:medianIncome        1 6.2610e+11 7.1824e+13 322598
## - housingMedianAge:sdrooms       1 6.7448e+11 7.1872e+13 322608
## - housingMedianAge:medianIncome  1 7.5379e+11 7.1952e+13 322624
## - longitude:medianIncome         1 8.6149e+11 7.2059e+13 322645
## - sdbedrooms:population          1 9.8005e+11 7.2178e+13 322669
## - latitude:medianIncome          1 1.3177e+12 7.2515e+13 322737
## 
## Step:  AIC=322183.3
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome + 
##     sdrooms:population + latitude:medianIncome + longitude:medianIncome + 
##     latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms + 
##     housingMedianAge:sdbedrooms + sdbedrooms:medianIncome + longitude:housingMedianAge + 
##     latitude:housingMedianAge
## 
##                                 Df  Sum of Sq        RSS    AIC
## + sdrooms:sdbedrooms             1 7.4079e+10 6.9698e+13 322170
## + longitude:sdbedrooms           1 5.0565e+10 6.9721e+13 322175
## + longitude:sdrooms              1 2.4674e+10 6.9747e+13 322180
## + housingMedianAge:population    1 1.4749e+10 6.9757e+13 322182
## + longitude:population           1 1.2304e+10 6.9759e+13 322183
## <none>                                        6.9772e+13 322183
## + longitude:latitude             1 7.1606e+09 6.9765e+13 322184
## + latitude:population            1 4.3886e+09 6.9767e+13 322184
## - housingMedianAge:medianIncome  1 1.3240e+11 6.9904e+13 322209
## - sdbedrooms:medianIncome        1 1.5653e+11 6.9928e+13 322214
## - housingMedianAge:sdrooms       1 1.7265e+11 6.9944e+13 322217
## - housingMedianAge:sdbedrooms    1 1.9944e+11 6.9971e+13 322223
## - sdrooms:medianIncome           1 3.0058e+11 7.0072e+13 322243
## - latitude:sdbedrooms            1 4.1901e+11 7.0191e+13 322268
## - sdrooms:population             1 5.2626e+11 7.0298e+13 322290
## - latitude:sdrooms               1 5.8278e+11 7.0355e+13 322301
## - population:medianIncome        1 7.2106e+11 7.0493e+13 322330
## - sdbedrooms:population          1 9.7500e+11 7.0747e+13 322382
## - longitude:medianIncome         1 1.3071e+12 7.1079e+13 322449
## - latitude:housingMedianAge      1 1.4260e+12 7.1198e+13 322474
## - longitude:housingMedianAge     1 1.4822e+12 7.1254e+13 322485
## - latitude:medianIncome          1 1.8757e+12 7.1647e+13 322565
## 
## Step:  AIC=322170
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome + 
##     sdrooms:population + latitude:medianIncome + longitude:medianIncome + 
##     latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms + 
##     housingMedianAge:sdbedrooms + sdbedrooms:medianIncome + longitude:housingMedianAge + 
##     latitude:housingMedianAge + sdrooms:sdbedrooms
## 
##                                 Df  Sum of Sq        RSS    AIC
## + longitude:sdrooms              1 8.0222e+10 6.9617e+13 322155
## + housingMedianAge:population    1 1.6838e+10 6.9681e+13 322168
## + longitude:sdbedrooms           1 1.5318e+10 6.9682e+13 322169
## + longitude:population           1 1.3598e+10 6.9684e+13 322169
## <none>                                        6.9698e+13 322170
## + latitude:population            1 7.2663e+09 6.9690e+13 322170
## + longitude:latitude             1 6.5702e+09 6.9691e+13 322171
## - sdrooms:sdbedrooms             1 7.4079e+10 6.9772e+13 322183
## - housingMedianAge:medianIncome  1 1.3015e+11 6.9828e+13 322195
## - housingMedianAge:sdrooms       1 1.6558e+11 6.9863e+13 322202
## - sdbedrooms:medianIncome        1 1.7679e+11 6.9874e+13 322205
## - housingMedianAge:sdbedrooms    1 2.6663e+11 6.9964e+13 322223
## - sdrooms:medianIncome           1 3.1924e+11 7.0017e+13 322234
## - latitude:sdbedrooms            1 4.0985e+11 7.0108e+13 322253
## - sdrooms:population             1 5.3594e+11 7.0234e+13 322279
## - latitude:sdrooms               1 6.0934e+11 7.0307e+13 322294
## - population:medianIncome        1 7.1480e+11 7.0412e+13 322315
## - sdbedrooms:population          1 7.6603e+11 7.0464e+13 322326
## - longitude:medianIncome         1 1.3212e+12 7.1019e+13 322439
## - latitude:housingMedianAge      1 1.4541e+12 7.1152e+13 322466
## - longitude:housingMedianAge     1 1.5164e+12 7.1214e+13 322479
## - latitude:medianIncome          1 1.8985e+12 7.1596e+13 322556
## 
## Step:  AIC=322155.3
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome + 
##     sdrooms:population + latitude:medianIncome + longitude:medianIncome + 
##     latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms + 
##     housingMedianAge:sdbedrooms + sdbedrooms:medianIncome + longitude:housingMedianAge + 
##     latitude:housingMedianAge + sdrooms:sdbedrooms + longitude:sdrooms
## 
##                                 Df  Sum of Sq        RSS    AIC
## + longitude:sdbedrooms           1 4.4814e+11 6.9169e+13 322064
## + housingMedianAge:population    1 1.4010e+10 6.9603e+13 322154
## + longitude:population           1 1.0866e+10 6.9607e+13 322155
## <none>                                        6.9617e+13 322155
## + latitude:population            1 6.2873e+09 6.9611e+13 322156
## + longitude:latitude             1 3.6975e+09 6.9614e+13 322157
## - longitude:sdrooms              1 8.0222e+10 6.9698e+13 322170
## - housingMedianAge:medianIncome  1 1.1081e+11 6.9728e+13 322176
## - housingMedianAge:sdrooms       1 1.2345e+11 6.9741e+13 322179
## - sdrooms:sdbedrooms             1 1.2963e+11 6.9747e+13 322180
## - sdbedrooms:medianIncome        1 2.1298e+11 6.9830e+13 322197
## - sdrooms:medianIncome           1 2.8008e+11 6.9898e+13 322211
## - housingMedianAge:sdbedrooms    1 2.8233e+11 6.9900e+13 322212
## - latitude:sdbedrooms            1 3.6321e+11 6.9981e+13 322229
## - sdrooms:population             1 4.7243e+11 7.0090e+13 322251
## - latitude:sdrooms               1 5.8824e+11 7.0206e+13 322275
## - population:medianIncome        1 6.7988e+11 7.0297e+13 322294
## - sdbedrooms:population          1 7.8455e+11 7.0402e+13 322315
## - longitude:medianIncome         1 1.3983e+12 7.1016e+13 322441
## - latitude:housingMedianAge      1 1.4487e+12 7.1066e+13 322451
## - longitude:housingMedianAge     1 1.4974e+12 7.1115e+13 322461
## - latitude:medianIncome          1 1.9785e+12 7.1596e+13 322558
## 
## Step:  AIC=322064
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome + 
##     sdrooms:population + latitude:medianIncome + longitude:medianIncome + 
##     latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms + 
##     housingMedianAge:sdbedrooms + sdbedrooms:medianIncome + longitude:housingMedianAge + 
##     latitude:housingMedianAge + sdrooms:sdbedrooms + longitude:sdrooms + 
##     longitude:sdbedrooms
## 
##                                 Df  Sum of Sq        RSS    AIC
## + longitude:population           1 1.1911e+10 6.9157e+13 322064
## <none>                                        6.9169e+13 322064
## + housingMedianAge:population    1 6.4888e+09 6.9163e+13 322065
## + latitude:population            1 4.2608e+09 6.9165e+13 322065
## + longitude:latitude             1 2.8527e+09 6.9166e+13 322065
## - housingMedianAge:sdrooms       1 3.9503e+10 6.9209e+13 322070
## - housingMedianAge:medianIncome  1 4.7211e+10 6.9217e+13 322072
## - sdrooms:sdbedrooms             1 5.7353e+10 6.9227e+13 322074
## - housingMedianAge:sdbedrooms    1 1.2051e+11 6.9290e+13 322087
## - sdrooms:medianIncome           1 2.3847e+11 6.9408e+13 322112
## - sdbedrooms:medianIncome        1 2.4975e+11 6.9419e+13 322114
## - sdrooms:population             1 2.7936e+11 6.9449e+13 322120
## - sdbedrooms:population          1 4.2331e+11 6.9593e+13 322150
## - longitude:sdbedrooms           1 4.4814e+11 6.9617e+13 322155
## - longitude:sdrooms              1 5.1305e+11 6.9682e+13 322169
## - population:medianIncome        1 5.2255e+11 6.9692e+13 322171
## - latitude:sdbedrooms            1 7.6719e+11 6.9936e+13 322221
## - latitude:sdrooms               1 1.0289e+12 7.0198e+13 322275
## - latitude:housingMedianAge      1 1.4934e+12 7.0663e+13 322371
## - longitude:housingMedianAge     1 1.5211e+12 7.0690e+13 322376
## - longitude:medianIncome         1 1.8444e+12 7.1014e+13 322442
## - latitude:medianIncome          1 2.4043e+12 7.1574e+13 322556
## 
## Step:  AIC=322063.5
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome + 
##     sdrooms:population + latitude:medianIncome + longitude:medianIncome + 
##     latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms + 
##     housingMedianAge:sdbedrooms + sdbedrooms:medianIncome + longitude:housingMedianAge + 
##     latitude:housingMedianAge + sdrooms:sdbedrooms + longitude:sdrooms + 
##     longitude:sdbedrooms + longitude:population
## 
##                                 Df  Sum of Sq        RSS    AIC
## + latitude:population            1 1.2311e+10 6.9145e+13 322063
## + housingMedianAge:population    1 9.8044e+09 6.9148e+13 322064
## <none>                                        6.9157e+13 322064
## - longitude:population           1 1.1911e+10 6.9169e+13 322064
## + longitude:latitude             1 2.4998e+09 6.9155e+13 322065
## - housingMedianAge:sdrooms       1 3.9659e+10 6.9197e+13 322070
## - housingMedianAge:medianIncome  1 4.7358e+10 6.9205e+13 322071
## - sdrooms:sdbedrooms             1 5.7406e+10 6.9215e+13 322074
## - housingMedianAge:sdbedrooms    1 1.2014e+11 6.9278e+13 322087
## - sdrooms:medianIncome           1 2.3508e+11 6.9392e+13 322111
## - sdbedrooms:medianIncome        1 2.4533e+11 6.9403e+13 322113
## - sdrooms:population             1 2.7031e+11 6.9428e+13 322118
## - sdbedrooms:population          1 4.2239e+11 6.9580e+13 322150
## - longitude:sdbedrooms           1 4.4919e+11 6.9607e+13 322155
## - population:medianIncome        1 4.9921e+11 6.9657e+13 322165
## - longitude:sdrooms              1 5.1013e+11 6.9668e+13 322168
## - latitude:sdbedrooms            1 7.6718e+11 6.9925e+13 322221
## - latitude:sdrooms               1 1.0304e+12 7.0188e+13 322275
## - latitude:housingMedianAge      1 1.4829e+12 7.0640e+13 322368
## - longitude:housingMedianAge     1 1.5323e+12 7.0690e+13 322378
## - longitude:medianIncome         1 1.8440e+12 7.1001e+13 322442
## - latitude:medianIncome          1 2.4075e+12 7.1565e+13 322556
## 
## Step:  AIC=322063
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome + 
##     sdrooms:population + latitude:medianIncome + longitude:medianIncome + 
##     latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms + 
##     housingMedianAge:sdbedrooms + sdbedrooms:medianIncome + longitude:housingMedianAge + 
##     latitude:housingMedianAge + sdrooms:sdbedrooms + longitude:sdrooms + 
##     longitude:sdbedrooms + longitude:population + latitude:population
## 
##                                 Df  Sum of Sq        RSS    AIC
## + housingMedianAge:population    1 1.5291e+10 6.9130e+13 322062
## <none>                                        6.9145e+13 322063
## - latitude:population            1 1.2311e+10 6.9157e+13 322064
## + longitude:latitude             1 2.4367e+09 6.9143e+13 322064
## - longitude:population           1 1.9961e+10 6.9165e+13 322065
## - housingMedianAge:sdrooms       1 3.9231e+10 6.9184e+13 322069
## - housingMedianAge:medianIncome  1 4.6432e+10 6.9192e+13 322071
## - sdrooms:sdbedrooms             1 4.7304e+10 6.9192e+13 322071
## - housingMedianAge:sdbedrooms    1 1.1819e+11 6.9263e+13 322086
## - sdrooms:population             1 2.0928e+11 6.9354e+13 322105
## - sdrooms:medianIncome           1 2.3540e+11 6.9380e+13 322110
## - sdbedrooms:medianIncome        1 2.4099e+11 6.9386e+13 322111
## - population:medianIncome        1 4.0294e+11 6.9548e+13 322145
## - sdbedrooms:population          1 4.0841e+11 6.9553e+13 322146
## - longitude:sdbedrooms           1 4.5842e+11 6.9604e+13 322156
## - longitude:sdrooms              1 5.1526e+11 6.9660e+13 322168
## - latitude:sdbedrooms            1 7.7893e+11 6.9924e+13 322223
## - latitude:sdrooms               1 1.0388e+12 7.0184e+13 322276
## - latitude:housingMedianAge      1 1.4847e+12 7.0630e+13 322368
## - longitude:housingMedianAge     1 1.5349e+12 7.0680e+13 322378
## - longitude:medianIncome         1 1.8455e+12 7.0991e+13 322442
## - latitude:medianIncome          1 2.4087e+12 7.1554e+13 322556
## 
## Step:  AIC=322061.8
## medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome + 
##     sdrooms:population + latitude:medianIncome + longitude:medianIncome + 
##     latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms + 
##     housingMedianAge:sdbedrooms + sdbedrooms:medianIncome + longitude:housingMedianAge + 
##     latitude:housingMedianAge + sdrooms:sdbedrooms + longitude:sdrooms + 
##     longitude:sdbedrooms + longitude:population + latitude:population + 
##     housingMedianAge:population
## 
##                                 Df  Sum of Sq        RSS    AIC
## <none>                                        6.9130e+13 322062
## - housingMedianAge:population    1 1.5291e+10 6.9145e+13 322063
## + longitude:latitude             1 2.3545e+09 6.9127e+13 322063
## - latitude:population            1 1.7798e+10 6.9148e+13 322064
## - longitude:population           1 2.7823e+10 6.9158e+13 322066
## - housingMedianAge:sdrooms       1 4.2917e+10 6.9173e+13 322069
## - housingMedianAge:medianIncome  1 4.6242e+10 6.9176e+13 322069
## - sdrooms:sdbedrooms             1 4.6673e+10 6.9176e+13 322070
## - housingMedianAge:sdbedrooms    1 1.2234e+11 6.9252e+13 322085
## - sdrooms:population             1 2.2443e+11 6.9354e+13 322107
## - sdrooms:medianIncome           1 2.3518e+11 6.9365e+13 322109
## - sdbedrooms:medianIncome        1 2.3853e+11 6.9368e+13 322110
## - population:medianIncome        1 3.9246e+11 6.9522e+13 322142
## - sdbedrooms:population          1 4.2024e+11 6.9550e+13 322147
## - longitude:sdbedrooms           1 4.5092e+11 6.9581e+13 322154
## - longitude:sdrooms              1 5.0108e+11 6.9631e+13 322164
## - latitude:sdbedrooms            1 7.6554e+11 6.9895e+13 322219
## - latitude:sdrooms               1 1.0089e+12 7.0139e+13 322269
## - latitude:housingMedianAge      1 1.4943e+12 7.0624e+13 322369
## - longitude:housingMedianAge     1 1.5411e+12 7.0671e+13 322378
## - longitude:medianIncome         1 1.8396e+12 7.0969e+13 322439
## - latitude:medianIncome          1 2.4001e+12 7.1530e+13 322553
## 
## Call:
## lm(formula = medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome + sdbedrooms:population + 
##     sdrooms:medianIncome + housingMedianAge:medianIncome + population:medianIncome + 
##     sdrooms:population + latitude:medianIncome + longitude:medianIncome + 
##     latitude:sdrooms + latitude:sdbedrooms + housingMedianAge:sdrooms + 
##     housingMedianAge:sdbedrooms + sdbedrooms:medianIncome + longitude:housingMedianAge + 
##     latitude:housingMedianAge + sdrooms:sdbedrooms + longitude:sdrooms + 
##     longitude:sdbedrooms + longitude:population + latitude:population + 
##     housingMedianAge:population, data = cahousing_train)
## 
## Coefficients:
##                   (Intercept)                      longitude  
##                     2.636e+06                      3.233e+04  
##                      latitude               housingMedianAge  
##                     3.560e+04                     -1.098e+05  
##                       sdrooms                     sdbedrooms  
##                     5.424e+05                     -2.723e+06  
##                    population                   medianIncome  
##                    -2.313e+02                     -9.768e+05  
##         sdbedrooms:population           sdrooms:medianIncome  
##                     4.556e+01                     -1.343e+03  
## housingMedianAge:medianIncome        population:medianIncome  
##                     1.188e+02                      4.177e+00  
##            sdrooms:population          latitude:medianIncome  
##                    -4.469e+00                     -1.442e+04  
##        longitude:medianIncome               latitude:sdrooms  
##                    -1.275e+04                      8.569e+03  
##           latitude:sdbedrooms       housingMedianAge:sdrooms  
##                    -4.102e+04                     -1.682e+02  
##   housingMedianAge:sdbedrooms        sdbedrooms:medianIncome  
##                     1.521e+03                      9.123e+03  
##    longitude:housingMedianAge      latitude:housingMedianAge  
##                    -1.295e+03                     -1.271e+03  
##            sdrooms:sdbedrooms              longitude:sdrooms  
##                    -1.250e+02                      7.085e+03  
##          longitude:sdbedrooms           longitude:population  
##                    -3.492e+04                     -2.074e+00  
##           latitude:population    housingMedianAge:population  
##                    -1.588e+00                     -9.001e-02
## n= 14447 
## 
## node), split, n, deviance, yval
##       * denotes terminal node
## 
##       1) root 14447 1.908485e+14 205839.20  
##         2) medianIncome< 5.09635 11543 9.704194e+13 173883.80  
##           4) medianIncome< 3.1261 5730 3.243587e+13 136971.60  
##             8) sdrooms>=4.307329 3402 1.422688e+13 119369.20  
##              16) medianIncome< 2.4143 1611 4.877318e+12  98282.99  
##                32) latitude>=34.465 1122 2.212724e+12  88601.69  
##                  64) longitude>=-119.885 314 1.392629e+11  66567.52  
##                   128) sdrooms< 5.681111 262 6.651752e+10  62950.00  
##                     256) medianIncome< 1.991 151 2.843960e+10  58534.44  
##                       512) population>=611 132 1.057841e+10  56109.09 *
##                       513) population< 611 19 1.169035e+10  75384.21 *
##                     257) medianIncome>=1.991 111 3.112883e+10  68956.76  
##                       514) housingMedianAge>=20.5 84 1.837178e+10  65858.33 *
##                       515) housingMedianAge< 20.5 27 9.441770e+09  78596.30  
##                        1030) sdbedrooms< 1.093146 15 3.853576e+09  70140.00 *
##                        1031) sdbedrooms>=1.093146 12 3.174767e+09  89166.67 *
##                   129) sdrooms>=5.681111 52 5.204169e+10  84794.23  
##                     258) longitude>=-117.805 10 3.659724e+09  59360.00 *
##                     259) longitude< -117.805 42 4.037272e+10  90850.00  
##                       518) sdbedrooms< 1.458853 32 2.483101e+10  83834.38  
##                        1036) longitude< -119.425 12 3.182397e+09  71283.33 *
##                        1037) longitude>=-119.425 20 1.862407e+10  91365.00  
##                          2074) medianIncome< 2.2327 9 7.497742e+09  76244.44 *
##                          2075) medianIncome>=2.2327 11 7.385085e+09 103736.40 *
##                       519) sdbedrooms>=1.458853 10 8.926680e+09 113300.00 *
##                  65) longitude< -119.885 808 1.861769e+12  97164.48  
##                   130) latitude>=38.915 336 2.572412e+11  80255.35  
##                     260) longitude< -121.45 278 1.615278e+11  76678.77  
##                       520) housingMedianAge>=24.5 124 4.916549e+10  69649.19  
##                        1040) housingMedianAge< 51.5 113 2.570374e+10  66915.04  
##                          2080) longitude>=-122.67 87 1.458405e+10  63357.47  
##                            4160) medianIncome< 1.8086 42 4.119931e+09  58278.57 *
##                            4161) medianIncome>=1.8086 45 8.369550e+09  68097.78 *
##                          2081) longitude< -122.67 26 6.334140e+09  78819.23 *
##                        1041) housingMedianAge>=51.5 11 1.393923e+10  97736.36 *
##                       521) housingMedianAge< 24.5 154 1.013011e+11  82338.95  
##                        1042) sdbedrooms>=0.9658755 147 8.513866e+10  80880.27  
##                          2084) medianIncome< 2.28405 120 5.275297e+10  77374.99  
##                            4168) sdrooms>=4.5089 110 3.973380e+10  75496.35  
##                              8336) population< 230.5 7 3.154850e+09  51457.00 *
##                              8337) population>=230.5 103 3.225880e+10  77130.10  
##                               16674) sdrooms< 5.533136 63 1.714289e+10  72990.48 *
##                               16675) sdrooms>=5.533136 40 1.233594e+10  83650.00  
##                                 33350) latitude>=40.71 15 1.300777e+09  74853.33 *
##                                 33351) latitude< 40.71 25 9.178010e+09  88928.00  
##                                   66702) latitude< 39.535 12 2.538397e+09  79216.67 *
##                                   66703) latitude>=39.535 13 4.463229e+09  97892.31 *
##                            4169) sdrooms< 4.5089 10 8.360524e+09  98040.00 *
##                          2085) medianIncome>=2.28405 27 2.435823e+10  96459.26  
##                            4170) longitude>=-122.66 17 8.794418e+09  86211.76 *
##                            4171) longitude< -122.66 10 1.074380e+10 113880.00 *
##                        1043) sdbedrooms< 0.9658755 7 9.281214e+09 112971.40 *
##                     261) longitude>=-121.45 58 7.511219e+10  97398.28  
##                       522) latitude>=39.345 32 1.478473e+10  74734.38  
##                        1044) housingMedianAge>=18.5 18 4.254305e+09  61583.33 *
##                        1045) housingMedianAge< 18.5 14 3.414774e+09  91642.86 *
##                       523) latitude< 39.345 26 2.366058e+10 125292.30  
##                        1046) housingMedianAge>=23 15 5.344544e+09 110780.00 *
##                        1047) housingMedianAge< 23 11 1.084906e+10 145081.80 *
##                   131) latitude< 38.915 472 1.440072e+12 109201.50  
##                     262) population>=147 449 8.386077e+11 104998.90  
##                       524) longitude>=-121.565 277 3.830934e+11  93367.15  
##                        1048) latitude>=35.705 259 2.617260e+11  89408.11  
##                          2096) housingMedianAge>=17.5 214 1.993681e+11  85027.57  
##                            4192) medianIncome< 2.10045 126 8.243570e+10  76861.90  
##                              8384) population>=271 118 6.512123e+10  74297.46  
##                               16768) medianIncome< 1.575 26 1.506750e+09  58103.85 *
##                               16769) medianIncome>=1.575 92 5.486958e+10  78873.91  
##                                 33538) population>=979 50 2.336750e+10  73120.00  
##                                   67076) latitude< 36.985 7 4.597171e+08  54642.86 *
##                                   67077) latitude>=36.985 43 2.012891e+10  76127.91  
##                                    134154) housingMedianAge>=33.5 24 2.697140e+09  68979.17 *
##                                    134155) housingMedianAge< 33.5 19 1.465599e+10  85157.89 *
##                                 33539) population< 979 42 2.787602e+10  85723.81  
##                                   67078) latitude< 38.545 32 1.258669e+10  78918.75  
##                                    134156) longitude>=-120.38 7 5.166143e+08  64228.57 *
##                                    134157) longitude< -120.38 25 1.013649e+10  83032.00  
##                                      268314) latitude>=37.85 16 2.849750e+09  75425.00 *
##                                      268315) latitude< 37.85 9 4.714902e+09  96555.56 *
##                                   67079) latitude>=38.545 10 9.065420e+09 107500.00 *
##                              8385) population< 271 8 5.092249e+09 114687.50 *
##                            4193) medianIncome>=2.10045 88 9.650168e+10  96719.32  
##                              8386) population>=439.5 80 5.983529e+10  93241.25  
##                               16772) sdbedrooms< 1.115556 63 4.260103e+10  88123.81  
##                                 33544) latitude< 38.55 48 3.108154e+10  83268.75  
##                                   67088) population>=997 32 6.234039e+09  76156.25 *
##                                   67089) population< 997 16 1.999109e+10  97493.75 *
##                                 33545) latitude>=38.55 15 6.767456e+09 103660.00 *
##                               16773) sdbedrooms>=1.115556 17 9.470229e+09 112205.90 *
##                              8387) population< 439.5 8 2.602106e+10 131500.00 *
##                          2097) housingMedianAge< 17.5 45 3.872287e+10 110240.00  
##                            4194) longitude>=-120.745 18 8.812751e+09  90922.22 *
##                            4195) longitude< -120.745 27 1.871482e+10 123118.50  
##                              8390) population>=1982.5 9 4.166769e+09 107788.90 *
##                              8391) population< 1982.5 18 1.137559e+10 130783.30 *
##                        1049) latitude< 35.705 18 5.889520e+10 150333.30 *
##                       525) longitude< -121.565 172 3.576810e+11 123731.40  
##                        1050) latitude>=37.725 157 2.452096e+11 117321.70  
##                          2100) longitude>=-122.375 130 1.389854e+11 111169.20  
##                            4200) sdbedrooms>=0.9734831 122 9.099988e+10 108204.90  
##                              8400) housingMedianAge>=22.5 115 6.607808e+10 105483.50  
##                               16800) sdbedrooms>=1.247755 16 1.219518e+09  84037.50 *
##                               16801) sdbedrooms< 1.247755 99 5.631037e+10 108949.50  
##                                 33602) latitude< 37.775 25 1.018929e+10  94004.00 *
##                                 33603) latitude>=37.775 74 3.865033e+10 113998.60  
##                                   67206) latitude>=37.885 30 1.073325e+10 102166.70  
##                                    134412) sdbedrooms>=1.120303 10 1.056776e+09  86120.00 *
##                                    134413) sdbedrooms< 1.120303 20 5.814038e+09 110190.00 *
##                                   67207) latitude< 37.885 44 2.085366e+10 122065.90  
##                                    134414) latitude< 37.845 33 9.332361e+09 114757.60  
##                                      268828) medianIncome< 1.6148 9 2.374389e+09  99011.11 *
##                                      268829) medianIncome>=1.6148 24 3.889576e+09 120662.50 *
##                                    134415) latitude>=37.845 11 4.470949e+09 143990.90 *
##                              8401) housingMedianAge< 22.5 7 1.007759e+10 152914.30 *
##                            4201) sdbedrooms< 0.9734831 8 3.056498e+10 156375.00 *
##                          2101) longitude< -122.375 27 7.761067e+10 146944.40  
##                            4202) longitude< -122.47 19 2.861876e+10 122873.70 *
##                            4203) longitude>=-122.47 8 1.183779e+10 204112.50 *
##                        1051) latitude< 37.725 15 3.850784e+10 190820.00 *
##                     263) population< 147 23 4.387230e+11 191243.50  
##                       526) sdbedrooms< 1.328431 15 1.569898e+11 145540.00 *
##                       527) sdbedrooms>=1.328431 8 1.916532e+11 276937.60 *
##                33) latitude< 34.465 489 2.318138e+12 120496.50  
##                  66) longitude>=-117.355 259 5.525841e+11  98090.73  
##                   132) medianIncome< 2.22045 198 2.518215e+11  89886.87  
##                     264) longitude>=-116.585 60 6.701594e+10  73640.00  
##                       528) sdrooms< 5.911765 39 8.975097e+09  64317.95 *
##                       529) sdrooms>=5.911765 21 4.835763e+10  90952.38  
##                        1058) longitude< -115.785 14 1.079023e+10  80007.14 *
##                        1059) longitude>=-115.785 7 3.253588e+10 112842.90 *
##                     265) longitude< -116.585 138 1.620820e+11  96950.72  
##                       530) latitude>=34.055 52 1.717031e+10  79353.85  
##                        1060) latitude< 34.155 42 5.768851e+09  74414.29 *
##                        1061) latitude>=34.155 10 6.072660e+09 100100.00 *
##                       531) latitude< 34.055 86 1.190739e+11 107590.70  
##                        1062) population>=1037.5 59 3.915691e+10  98908.47  
##                          2124) longitude>=-116.995 19 5.095646e+09  85642.11 *
##                          2125) longitude< -116.995 40 2.912896e+10 105210.00  
##                            4250) latitude< 32.715 13 2.186463e+09  90523.08 *
##                            4251) latitude>=32.715 27 2.278816e+10 112281.50  
##                              8502) latitude>=32.965 20 1.609101e+10 106635.00  
##                               17004) latitude< 33.795 13 4.835257e+09  95884.62 *
##                               17005) latitude>=33.795 7 6.963120e+09 126600.00 *
##                              8503) latitude< 32.965 7 4.237629e+09 128414.30 *
##                        1063) population< 1037.5 27 6.575094e+10 126563.00  
##                          2126) latitude< 32.715 8 2.681609e+09  86787.50 *
##                          2127) latitude>=32.715 19 4.508350e+10 143310.50 *
##                   133) medianIncome>=2.22045 61 2.441814e+11 124719.70  
##                     266) latitude>=33.695 23 1.827209e+10  95195.65  
##                       532) sdrooms< 5.06776 8 6.535988e+08  76137.50 *
##                       533) sdrooms>=5.06776 15 1.316308e+10 105360.00 *
##                     267) latitude< 33.695 38 1.937264e+11 142589.50  
##                       534) housingMedianAge< 30 27 4.649297e+10 123855.60  
##                        1068) longitude>=-116.46 7 4.500137e+09  81357.14 *
##                        1069) longitude< -116.46 20 2.492504e+10 138730.00  
##                          2138) housingMedianAge< 19 12 7.315389e+09 124541.70 *
##                          2139) housingMedianAge>=19 8 1.157039e+10 160012.50 *
##                       535) housingMedianAge>=30 11 1.144985e+11 188572.70 *
##                  67) longitude< -117.355 230 1.489114e+12 145727.40  
##                   134) population>=146 221 9.953501e+11 137691.40  
##                     268) latitude>=33.605 213 4.830228e+11 131281.70  
##                       536) longitude>=-118.38 202 3.438661e+11 126265.80  
##                        1072) latitude>=33.875 183 2.045712e+11 120913.70  
##                          2144) latitude< 34.025 125 5.620600e+10 111529.60  
##                            4288) medianIncome< 1.87665 59 1.099855e+10 103608.50  
##                              8576) longitude>=-118.285 39 5.913614e+09  99025.64 *
##                              8577) longitude< -118.285 20 2.668610e+09 112545.00 *
##                            4289) medianIncome>=1.87665 66 3.819626e+10 118610.60  
##                              8578) longitude>=-118.315 56 2.558394e+10 115132.10  
##                               17156) medianIncome< 2.0904 29 8.517487e+09 106989.70 *
##                               17157) medianIncome>=2.0904 27 1.307863e+10 123877.80  
##                                 34314) sdbedrooms< 1.143507 20 6.587266e+09 119185.00  
##                                   68628) longitude< -118.21 12 2.138149e+09 109991.70 *
##                                   68629) longitude>=-118.21 8 1.913595e+09 132975.00 *
##                                 34315) sdbedrooms>=1.143507 7 4.792509e+09 137285.70 *
##                              8579) longitude< -118.315 10 8.140269e+09 138090.00 *
##                          2145) latitude>=34.025 58 1.136344e+11 141137.90  
##                            4290) longitude>=-117.835 21 1.496705e+10 110619.00  
##                              8580) medianIncome>=1.94095 13 1.666129e+09 101607.70 *
##                              8581) medianIncome< 1.94095 8 1.052982e+10 125262.50 *
##                            4291) longitude< -117.835 37 6.800657e+10 158459.50  
##                              8582) longitude< -118.135 30 5.453857e+10 152190.00  
##                               17164) housingMedianAge< 46.5 23 1.577464e+10 144852.20 *
##                               17165) housingMedianAge>=46.5 7 3.345648e+10 176300.00 *
##                              8583) longitude>=-118.135 7 7.235174e+09 185328.60 *
##                        1073) latitude< 33.875 19 8.356221e+10 177815.80 *
##                       537) longitude< -118.38 11 4.074947e+10 223390.90 *
##                     269) latitude< 33.605 8 2.705808e+11 308350.20 *
##                   135) population< 146 9 1.290456e+11 343055.80 *
##              17) medianIncome>=2.4143 1791 7.988960e+12 138336.20  
##                34) latitude>=34.455 1123 3.781534e+12 124423.40  
##                  68) longitude>=-121.695 700 1.185484e+12 107020.60  
##                   136) longitude>=-120.09 254 1.808192e+11  85758.27  
##                     272) latitude< 37.045 227 1.085709e+11  81218.50  
##                       544) latitude>=34.785 207 7.647880e+10  78394.69  
##                        1088) sdrooms< 5.556559 137 2.005496e+10  74671.53  
##                          2176) longitude< -118.935 122 1.411859e+10  73161.48 *
##                          2177) longitude>=-118.935 15 3.395537e+09  86953.33 *
##                        1089) sdrooms>=5.556559 70 5.080801e+10  85681.43  
##                          2178) longitude>=-118.405 8 3.730599e+09  63362.50 *
##                          2179) longitude< -118.405 62 4.257813e+10  88561.29  
##                            4358) sdrooms< 6.475843 54 2.720031e+10  84437.04  
##                              8716) latitude< 36.325 26 7.474890e+09  74203.85 *
##                              8717) latitude>=36.325 28 1.447455e+10  93939.29  
##                               17434) longitude< -119.68 13 9.224908e+08  82138.46 *
##                               17435) longitude>=-119.68 15 1.017269e+10 104166.70 *
##                            4359) sdrooms>=6.475843 8 8.259360e+09 116400.00 *
##                       545) latitude< 34.785 20 1.335775e+10 110445.00  
##                        1090) population>=1557 9 1.076760e+09  97100.00 *
##                        1091) population< 1557 11 9.366805e+09 121363.60 *
##                     273) latitude>=37.045 27 2.823709e+10 123925.90  
##                       546) sdbedrooms< 1.929839 17 2.687978e+09 107311.80 *
##                       547) sdbedrooms>=1.929839 10 1.287932e+10 152170.00 *
##                   137) longitude< -120.09 446 8.244387e+11 119129.60  
##                     274) latitude>=35.54 406 5.626866e+11 113504.20  
##                       548) latitude>=39.325 38 1.568574e+10  83305.26  
##                        1096) latitude>=40.14 12 1.648377e+09  64516.67 *
##                        1097) latitude< 40.14 26 7.846086e+09  91976.92  
##                          2194) latitude< 39.565 10 2.045280e+09  78600.00 *
##                          2195) latitude>=39.565 16 2.892998e+09 100337.50 *
##                       549) latitude< 39.325 368 5.087673e+11 116622.60  
##                        1098) population>=265 349 4.260583e+11 114192.00  
##                          2196) sdrooms< 5.59617 242 2.790305e+11 109025.20  
##                            4392) longitude>=-120.645 31 2.445195e+10  88280.65  
##                              8784) latitude< 37.815 23 1.278682e+10  79478.26  
##                               17568) housingMedianAge>=24 11 1.675985e+09  69063.64 *
##                               17569) housingMedianAge< 24 12 8.824042e+09  89025.00 *
##                              8785) latitude>=37.815 8 4.759549e+09 113587.50 *
##                            4393) longitude< -120.645 211 2.392781e+11 112073.00  
##                              8786) latitude>=37.185 191 1.802333e+11 108497.90  
##                               17572) latitude< 38.545 99 5.792887e+10 100394.90  
##                                 35144) medianIncome< 2.98325 81 4.241638e+10  96792.59  
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##                          2426) sdrooms< 3.210227 110 7.927397e+11 221979.10  
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##                                 38818) population< 3619.5 39 1.020095e+11 191302.60  
##                                   77636) sdrooms>=2.643772 24 7.454733e+10 178287.50  
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##                                    155273) sdrooms>=2.808696 16 4.535621e+10 190475.00 *
##                                   77637) sdrooms< 2.643772 15 1.689209e+10 212126.70 *
##                                 38819) population>=3619.5 13 4.396855e+10 254461.50 *
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##                38) longitude>=-122.375 1075 5.718368e+12 182968.60  
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##                               19818) housingMedianAge>=35.5 24 3.439506e+10 167325.00  
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##                                 39638) population>=785 82 1.381510e+11 197226.80  
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##                          2483) housingMedianAge>=23 19 2.599160e+10 220573.70 *
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##              20) latitude>=37.965 808 2.194314e+12 155259.40  
##                40) longitude>=-122.395 624 1.062944e+12 143964.30  
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##                          2569) medianIncome>=3.6455 12 6.166487e+09 119333.30 *
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##                          2570) latitude< 38.62 70 7.070301e+10 129548.60  
##                            5140) population>=1146 38 1.981845e+10 117736.80  
##                             10280) medianIncome< 3.60325 20 1.058703e+10 107920.00  
##                               20560) latitude< 38.07 7 3.019943e+08  91171.43 *
##                               20561) latitude>=38.07 13 7.264111e+09 116938.50 *
##                             10281) medianIncome>=3.60325 18 5.162444e+09 128644.40 *
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##                             10283) longitude< -121.315 17 2.167176e+10 156400.00 *
##                          2571) latitude>=38.62 9 1.557447e+10 170688.90 *
##                       643) longitude< -121.505 128 1.570501e+11 148191.40  
##                        1286) housingMedianAge>=30.5 39 1.970761e+10 129138.50  
##                          2572) longitude>=-122.255 26 1.240470e+10 121657.70  
##                            5144) sdbedrooms< 1.000899 10 1.753689e+09 110210.00 *
##                            5145) sdbedrooms>=1.000899 16 8.521458e+09 128812.50 *
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##                        1287) housingMedianAge< 30.5 89 1.169810e+11 156540.40  
##                          2574) latitude< 38.535 82 7.733211e+10 152430.50  
##                            5148) longitude>=-122.055 53 4.286153e+10 143322.60  
##                             10296) longitude< -121.69 45 2.652137e+10 136817.80  
##                               20592) medianIncome< 3.56465 12 3.821327e+09 118766.70 *
##                               20593) medianIncome>=3.56465 33 1.736807e+10 143381.80  
##                                 41186) latitude>=38.14 19 6.679846e+09 133157.90 *
##                                 41187) latitude< 38.14 14 6.006834e+09 157257.10 *
##                             10297) longitude>=-121.69 8 3.725529e+09 179912.50 *
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##                             10298) sdrooms< 5.291026 13 8.513323e+09 157523.10 *
##                             10299) sdrooms>=5.291026 16 1.038096e+10 178462.50 *
##                          2575) latitude>=38.535 7 2.203799e+10 204685.70 *
##                   161) longitude>=-121.235 121 1.838476e+11 152505.80  
##                     322) longitude>=-120.935 64 8.813724e+10 136125.00  
##                       644) sdbedrooms< 2.197847 52 3.247851e+10 126242.30  
##                        1288) medianIncome< 3.62425 30 1.250117e+10 116240.00  
##                          2576) sdbedrooms>=1.163141 17 2.223095e+09 106570.60 *
##                          2577) sdbedrooms< 1.163141 13 6.610097e+09 128884.60 *
##                        1289) medianIncome>=3.62425 22 1.288315e+10 139881.80  
##                          2578) latitude>=38.74 10 1.574296e+09 125120.00 *
##                          2579) latitude< 38.74 12 7.313817e+09 152183.30 *
##                       645) sdbedrooms>=2.197847 12 2.857225e+10 178950.00 *
##                     323) longitude< -120.935 57 5.925515e+10 170898.20  
##                       646) medianIncome< 4.0607 44 2.413296e+10 164277.30  
##                        1292) sdrooms< 5.486439 8 2.708179e+09 142662.50 *
##                        1293) sdrooms>=5.486439 36 1.685662e+10 169080.60  
##                          2586) housingMedianAge>=18 11 2.488802e+09 154127.30 *
##                          2587) housingMedianAge< 18 25 1.082598e+10 175660.00  
##                            5174) sdbedrooms>=1.058328 18 4.535029e+09 169105.60 *
##                            5175) sdbedrooms< 1.058328 7 3.529189e+09 192514.30 *
##                       647) medianIncome>=4.0607 13 2.666497e+10 193307.70 *
##                  81) medianIncome>=4.4669 143 2.278474e+11 173583.20  
##                   162) longitude>=-122.075 121 1.442165e+11 168172.70  
##                     324) longitude< -121.265 77 8.164774e+10 159805.20  
##                       648) longitude>=-121.9 58 4.195830e+10 153153.40  
##                        1296) sdbedrooms< 0.9940328 16 8.016244e+09 135681.20 *
##                        1297) sdbedrooms>=0.9940328 42 2.719688e+10 159809.50  
##                          2594) sdbedrooms>=1.051287 16 4.848484e+09 146618.80 *
##                          2595) sdbedrooms< 1.051287 26 1.785125e+10 167926.90  
##                            5190) sdbedrooms< 1.034759 17 7.889255e+09 158570.60 *
##                            5191) sdbedrooms>=1.034759 9 5.662760e+09 185600.00 *
##                       649) longitude< -121.9 19 2.928936e+10 180110.50 *
##                     325) longitude>=-121.265 44 4.774300e+10 182815.90  
##                       650) population< 815.5 16 1.234522e+10 161387.50 *
##                       651) population>=815.5 28 2.385277e+10 195060.70  
##                        1302) sdrooms< 6.474821 11 6.087727e+09 184445.50 *
##                        1303) sdrooms>=6.474821 17 1.572348e+10 201929.40 *
##                   163) longitude< -122.075 22 6.060737e+10 203340.90  
##                     326) population>=970 13 1.378361e+10 177030.80 *
##                     327) population< 970 9 2.482644e+10 241344.40 *
##                41) longitude< -122.395 184 7.817778e+11 193564.70  
##                  82) latitude>=38.72 52 4.891031e+10 119455.80  
##                   164) latitude>=39.41 27 1.047288e+10 106266.70  
##                     328) medianIncome< 3.72025 18 3.988916e+09  96172.22 *
##                     329) medianIncome>=3.72025 9 9.814822e+08 126455.60 *
##                   165) latitude< 39.41 25 2.866826e+10 133700.00  
##                     330) longitude>=-122.95 11 1.044845e+10 112636.40 *
##                     331) longitude< -122.95 14 9.504735e+09 150250.00 *
##                  83) latitude< 38.72 132 3.347713e+11 222759.10  
##                   166) latitude>=38.005 124 2.720153e+11 217586.30  
##                     332) sdrooms< 6.287591 94 1.436353e+11 206926.60  
##                       664) medianIncome< 4.20785 65 7.802657e+10 196135.40  
##                        1328) latitude>=38.305 51 4.100660e+10 187562.70  
##                          2656) longitude>=-122.785 38 2.157339e+10 181815.80  
##                            5312) longitude< -122.655 25 7.810210e+09 172896.00 *
##                            5313) longitude>=-122.655 13 7.948988e+09 198969.20 *
##                          2657) longitude< -122.785 13 1.450957e+10 204361.50 *
##                        1329) latitude< 38.305 14 1.961855e+10 227364.30 *
##                       665) medianIncome>=4.20785 29 4.107387e+10 231113.80  
##                        1330) housingMedianAge< 17.5 9 4.430820e+09 198400.00 *
##                        1331) housingMedianAge>=17.5 20 2.267705e+10 245835.00  
##                          2662) population< 1370.5 13 1.557067e+10 233461.50 *
##                          2663) population>=1370.5 7 1.419709e+09 268814.30 *
##                     333) sdrooms>=6.287591 30 8.423131e+10 250986.70  
##                       666) population>=766.5 22 5.600647e+10 236313.60  
##                        1332) latitude>=38.455 10 1.867858e+10 210850.00 *
##                        1333) latitude< 38.455 12 2.544061e+10 257533.30 *
##                       667) population< 766.5 8 1.046278e+10 291337.50 *
##                   167) latitude< 38.005 8 8.009399e+09 302937.50 *
##              21) latitude< 37.965 3796 2.763572e+13 205875.40  
##                42) longitude>=-121.865 3252 2.257207e+13 197164.70  
##                  84) latitude>=34.475 706 3.116580e+12 151236.10  
##                   168) longitude>=-120.145 330 5.083441e+11 112082.40  
##                     336) latitude>=34.705 264 2.142666e+11 102590.20  
##                       672) sdrooms< 6.862705 235 1.156558e+11  97588.94  
##                        1344) medianIncome< 4.0224 163 6.333980e+10  92211.04  
##                          2688) latitude< 36.225 62 1.358483e+10  84070.97  
##                            5376) longitude>=-117.72 16 3.493310e+09  74525.00 *
##                            5377) longitude< -117.72 46 8.126377e+09  87391.30 *
##                          2689) latitude>=36.225 101 4.312495e+10  97207.92  
##                            5378) sdbedrooms< 1.059289 63 1.233981e+10  91742.86 *
##                            5379) sdbedrooms>=1.059289 38 2.578400e+10 106268.40  
##                             10758) housingMedianAge>=19.5 17 9.716838e+09  95588.24 *
##                             10759) housingMedianAge< 19.5 21 1.255827e+10 114914.30  
##                               21518) medianIncome>=3.3078 13 6.643943e+09 106176.90 *
##                               21519) medianIncome< 3.3078 8 3.309169e+09 129112.50 *
##                        1345) medianIncome>=4.0224 72 3.692927e+10 109763.90  
##                          2690) sdbedrooms< 1.06208 46 1.500953e+10 103837.00  
##                            5380) medianIncome< 4.4098 28 8.904510e+09  97203.57  
##                             10760) sdrooms< 5.624579 12 1.466350e+09  86250.00 *
##                             10761) sdrooms>=5.624579 16 4.918564e+09 105418.80 *
##                            5381) medianIncome>=4.4098 18 2.956444e+09 114155.60 *
##                          2691) sdbedrooms>=1.06208 26 1.744490e+10 120250.00  
##                            5382) population< 1080 11 5.828307e+09 106854.50 *
##                            5383) population>=1080 15 8.195309e+09 130073.30 *
##                       673) sdrooms>=6.862705 29 4.510200e+10 143117.20  
##                        1346) latitude< 37.22 22 2.231925e+10 131268.20  
##                          2692) latitude>=36.515 12 4.944002e+09 116625.00 *
##                          2693) latitude< 36.515 10 1.171448e+10 148840.00 *
##                        1347) latitude>=37.22 7 9.986277e+09 180357.10 *
##                     337) latitude< 34.705 66 1.751412e+11 150051.50  
##                       674) longitude>=-118.175 51 5.040618e+10 133307.80  
##                        1348) sdrooms< 6.311266 34 1.142776e+10 119411.80  
##                          2696) medianIncome< 4.048 23 6.008399e+09 111478.30 *
##                          2697) medianIncome>=4.048 11 9.448600e+08 136000.00 *
##                        1349) sdrooms>=6.311266 17 1.928212e+10 161100.00 *
##                       675) longitude< -118.175 15 6.182436e+10 206980.00 *
##                   169) longitude< -120.145 376 1.658340e+12 185599.70  
##                     338) latitude>=37.245 197 4.989090e+11 160625.90  
##                       676) longitude>=-121.285 115 1.299861e+11 138887.80  
##                        1352) sdrooms< 5.832977 74 6.254226e+10 128400.00  
##                          2704) longitude>=-120.815 11 1.310825e+09  95836.36 *
##                          2705) longitude< -120.815 63 4.753052e+10 134085.70  
##                            5410) housingMedianAge>=34 7 5.481249e+09 101914.30 *
##                            5411) housingMedianAge< 34 56 3.389864e+10 138107.10  
##                             10822) medianIncome< 4.10805 43 2.559115e+10 134002.30  
##                               21644) longitude< -121.105 12 2.233589e+09 121858.30 *
##                               21645) longitude>=-121.105 31 2.090279e+10 138703.20  
##                                 43290) population>=1211 23 7.184352e+09 133265.20  
##                                   86580) latitude< 37.685 12 1.524610e+09 121050.00 *
##                                   86581) latitude>=37.685 11 1.915889e+09 146590.90 *
##                                 43291) population< 1211 8 1.108284e+10 154337.50 *
##                             10823) medianIncome>=4.10805 13 5.186437e+09 151684.60 *
##                        1353) sdrooms>=5.832977 41 4.461330e+10 157817.10  
##                          2706) longitude>=-120.755 9 2.504382e+09 125655.60 *
##                          2707) longitude< -120.755 32 3.018142e+10 166862.50  
##                            5414) latitude< 37.685 21 1.156791e+10 154261.90  
##                             10828) population>=835 13 6.392363e+09 144623.10 *
##                             10829) population< 835 8 2.005095e+09 169925.00 *
##                            5415) latitude>=37.685 11 8.913796e+09 190918.20 *
##                       677) longitude< -121.285 82 2.383684e+11 191112.20  
##                        1354) longitude< -121.41 75 1.167639e+11 185325.30  
##                          2708) medianIncome< 4.6399 58 6.333728e+10 175044.80  
##                            5416) longitude>=-121.445 9 3.544216e+09 145177.80 *
##                            5417) longitude< -121.445 49 5.029010e+10 180530.60  
##                             10834) sdrooms< 5.575688 42 2.755424e+10 175026.20  
##                               21668) population< 1818 23 2.149703e+10 167534.80  
##                                 43336) medianIncome< 3.8324 9 4.551602e+09 148155.60 *
##                                 43337) medianIncome>=3.8324 14 1.139259e+10 179992.90 *
##                               21669) population>=1818 19 3.203889e+09 184094.70 *
##                             10835) sdrooms>=5.575688 7 1.382806e+10 213557.10 *
##                          2709) medianIncome>=4.6399 17 2.638270e+10 220400.00 *
##                        1355) longitude>=-121.41 7 9.218311e+10 253114.30 *
##                     339) latitude< 37.245 179 9.013401e+11 213084.90  
##                       678) longitude>=-120.505 57 1.677327e+11 171342.10  
##                        1356) longitude< -120.35 50 5.364844e+10 159554.00  
##                          2712) housingMedianAge>=15.5 38 2.182884e+10 147905.30  
##                            5424) medianIncome< 4.5057 27 8.982510e+09 137903.70 *
##                            5425) medianIncome>=4.5057 11 3.516147e+09 172454.50 *
##                          2713) housingMedianAge< 15.5 12 1.033487e+10 196441.70 *
##                        1357) longitude>=-120.35 7 5.750792e+10 255542.90 *
##                       679) longitude< -120.505 122 5.878832e+11 232587.70  
##                        1358) sdrooms< 5.96985 78 3.161208e+11 212396.20  
##                          2716) population>=663 71 1.753633e+11 202483.10  
##                            5432) medianIncome< 4.17125 50 1.185866e+11 189140.00  
##                             10864) population>=1252.5 36 4.798015e+10 178655.60  
##                               21728) housingMedianAge>=25 10 1.808948e+10 153480.00 *
##                               21729) housingMedianAge< 25 26 2.111486e+10 188338.50  
##                                 43458) latitude< 36.82 18 1.325120e+10 179555.60 *
##                                 43459) latitude>=36.82 8 3.351000e+09 208100.00 *
##                             10865) population< 1252.5 14 5.647342e+10 216100.00 *
##                            5433) medianIncome>=4.17125 21 2.667973e+10 234252.40  
##                             10866) population>=1454 14 6.988520e+09 222400.00 *
##                             10867) population< 1454 7 1.379110e+10 257957.10 *
##                          2717) population< 663 7 6.301298e+10 312942.90 *
##                        1359) sdrooms>=5.96985 44 1.835882e+11 268381.80  
##                          2718) sdbedrooms>=1.257226 7 4.528485e+10 222585.70 *
##                          2719) sdbedrooms< 1.257226 37 1.208449e+11 277046.00  
##                            5438) latitude< 36.91 30 5.318813e+10 264823.30  
##                             10876) latitude>=35.37 19 2.535617e+10 247947.40 *
##                             10877) latitude< 35.37 11 1.307424e+10 293972.70 *
##                            5439) latitude>=36.91 7 4.396732e+10 329428.70 *
##                  85) latitude< 34.475 2546 1.755326e+13 209900.50  
##                   170) longitude>=-118.275 1873 8.574052e+12 189239.30  
##                     340) longitude>=-117.685 835 4.182578e+12 170473.40  
##                       680) latitude>=33.625 336 5.759381e+11 138075.90  
##                        1360) longitude>=-117.505 255 3.025728e+11 130050.60  
##                          2720) sdrooms< 7.006392 201 1.221353e+11 123253.70  
##                            5440) medianIncome< 4.1624 135 5.712132e+10 115688.10  
##                             10880) longitude>=-116.34 7 1.194040e+09  82700.00 *
##                             10881) longitude< -116.34 128 4.789317e+10 117492.20  
##                               21762) latitude>=34.055 70 1.724997e+10 109358.60  
##                                 43524) housingMedianAge>=28.5 27 3.912387e+09 100755.60 *
##                                 43525) housingMedianAge< 28.5 43 1.008450e+10 114760.50  
##                                   87050) latitude>=34.415 7 2.155371e+08  99357.14 *
##                                   87051) latitude< 34.415 36 7.885189e+09 117755.60 *
##                               21763) latitude< 34.055 58 2.042329e+10 127308.60  
##                                 43526) housingMedianAge>=13.5 39 1.066183e+10 122397.40  
##                                   87052) longitude< -117.405 18 1.172656e+09 114872.20 *
##                                   87053) longitude>=-117.405 21 7.596152e+09 128847.60  
##                                    174106) population>=1618.5 8 6.649200e+08 115900.00 *
##                                    174107) population< 1618.5 13 4.764797e+09 136815.40 *
##                                 43527) housingMedianAge< 13.5 19 6.889938e+09 137389.50 *
##                            5441) medianIncome>=4.1624 66 4.148130e+10 138728.80  
##                             10882) sdbedrooms>=0.9350877 59 2.564362e+10 135879.70  
##                               21764) population< 1581 29 1.071959e+10 126941.40  
##                                 43528) medianIncome< 4.6757 21 5.383307e+09 121833.30 *
##                                 43529) medianIncome>=4.6757 8 3.350020e+09 140350.00 *
##                               21765) population>=1581 30 1.036747e+10 144520.00  
##                                 43530) sdrooms>=5.728397 23 5.197486e+09 140213.00  
##                                   87060) longitude>=-117.41 16 4.699975e+08 133912.50 *
##                                   87061) longitude< -117.41 7 2.640569e+09 154614.30 *
##                                 43531) sdrooms< 5.728397 7 3.341494e+09 158671.40 *
##                             10883) sdbedrooms< 0.9350877 7 1.132202e+10 162742.90 *
##                          2721) sdrooms>=7.006392 54 1.365887e+11 155350.00  
##                            5442) medianIncome< 4.6183 45 1.047212e+11 148386.70  
##                             10884) latitude>=34.09 12 1.217870e+10 121700.00 *
##                             10885) latitude< 34.09 33 8.088867e+10 158090.90  
##                               21770) latitude< 33.835 22 3.403953e+10 145245.50  
##                                 43540) population< 1598.5 13 1.408037e+10 128561.50 *
##                                 43541) population>=1598.5 9 1.111372e+10 169344.40 *
##                               21771) latitude>=33.835 11 3.595876e+10 183781.80 *
##                            5443) medianIncome>=4.6183 9 1.877572e+10 190166.70 *
##                        1361) longitude< -117.505 81 2.052385e+11 163340.70  
##                          2722) sdrooms< 6.482452 74 5.162416e+10 154647.30  
##                            5444) medianIncome< 4.15145 39 1.671138e+10 141569.20 *
##                            5445) medianIncome>=4.15145 35 2.080966e+10 169220.00  
##                             10890) latitude>=33.895 27 6.772954e+09 162414.80 *
##                             10891) latitude< 33.895 8 8.566269e+09 192187.50 *
##                          2723) sdrooms>=6.482452 7 8.889976e+10 255242.90 *
##                       681) latitude< 33.625 499 3.016508e+12 192288.20  
##                        1362) longitude>=-117.195 342 9.240505e+11 168838.00  
##                          2724) longitude>=-116.44 17 9.405545e+09  90182.35 *
##                          2725) longitude< -116.44 325 8.039694e+11 172952.30  
##                            5450) latitude< 32.945 249 4.569069e+11 162198.00  
##                             10900) medianIncome< 4.5956 207 3.253151e+11 155988.40  
##                               21800) longitude>=-117.175 192 1.781948e+11 152066.70  
##                                 43600) latitude< 32.735 86 7.744431e+10 140915.10  
##                                   87200) medianIncome< 4.01935 62 3.107971e+10 133846.80  
##                                    174400) housingMedianAge>=19.5 47 1.654975e+10 129512.80  
##                                      348800) latitude>=32.625 34 1.035714e+10 125020.60 *
##                                      348801) latitude< 32.625 13 3.712071e+09 141261.50 *
##                                    174401) housingMedianAge< 19.5 15 1.088093e+10 147426.70 *
##                                   87201) medianIncome>=4.01935 24 3.526482e+10 159175.00  
##                                    174402) sdrooms>=5.494961 16 3.227920e+09 146600.00 *
##                                    174403) sdrooms< 5.494961 8 2.444664e+10 184325.00 *
##                                 43601) latitude>=32.735 106 8.137891e+10 161114.20  
##                                   87202) medianIncome< 3.5574 29 3.308210e+10 145269.00  
##                                    174404) sdrooms< 4.979836 11 1.213039e+10 131554.50 *
##                                    174405) sdrooms>=4.979836 18 1.761842e+10 153650.00 *
##                                   87203) medianIncome>=3.5574 77 3.827357e+10 167081.80  
##                                    174406) sdrooms< 5.748766 43 1.397625e+10 159544.20 *
##                                    174407) sdrooms>=5.748766 34 1.876446e+10 176614.70  
##                                      348814) sdbedrooms< 1.024369 13 1.163952e+09 166453.80 *
##                                      348815) sdbedrooms>=1.024369 21 1.542749e+10 182904.80 *
##                               21801) longitude< -117.175 15 1.063693e+11 206186.70 *
##                             10901) medianIncome>=4.5956 42 8.427171e+10 192802.40  
##                               21802) sdbedrooms< 1.069086 35 4.471133e+10 182882.90  
##                                 43604) latitude< 32.745 14 6.854729e+09 159192.90 *
##                                 43605) latitude>=32.745 21 2.476156e+10 198676.20  
##                                   87210) population< 1376 12 5.307669e+09 183008.30 *
##                                   87211) population>=1376 9 1.258040e+10 219566.70 *
##                               21803) sdbedrooms>=1.069086 7 1.889702e+10 242400.00 *
##                            5451) latitude>=32.945 76 2.239125e+11 208186.80  
##                             10902) sdrooms< 5.992201 41 5.818778e+10 188953.70  
##                               21804) sdrooms< 5.35841 10 5.828089e+09 161510.00 *
##                               21805) sdrooms>=5.35841 31 4.239862e+10 197806.50  
##                                 43610) population< 1436 14 5.804389e+09 174892.90 *
##                                 43611) population>=1436 17 2.319045e+10 216676.50 *
##                             10903) sdrooms>=5.992201 35 1.327916e+11 230717.10  
##                               21806) population< 872.5 8 1.872910e+10 194450.00 *
##                               21807) population>=872.5 27 1.004223e+11 241463.00  
##                                 43614) longitude< -117.075 19 4.784831e+10 227321.10 *
##                                 43615) longitude>=-117.075 8 3.974944e+10 275050.00 *
##                        1363) longitude< -117.195 157 1.494708e+12 243370.80  
##                          2726) latitude>=33.125 80 2.983821e+11 206843.80  
##                            5452) sdbedrooms< 1.152157 72 1.535111e+11 196118.10  
##                             10904) sdrooms< 5.910698 40 6.482702e+10 177600.00  
##                               21808) sdbedrooms< 1.072806 26 2.019024e+10 164061.50  
##                                 43616) latitude< 33.24 19 1.273770e+10 155173.70 *
##                                 43617) latitude>=33.24 7 1.877829e+09 188185.70 *
##                               21809) sdbedrooms>=1.072806 14 3.102095e+10 202742.90 *
##                             10905) sdrooms>=5.910698 32 5.782145e+10 219265.60  
##                               21810) medianIncome< 3.9746 7 6.059814e+09 181828.60 *
##                               21811) medianIncome>=3.9746 25 3.920390e+10 229748.00  
##                                 43622) housingMedianAge< 19.5 18 1.852598e+10 219211.10 *
##                                 43623) housingMedianAge>=19.5 7 1.354054e+10 256842.90 *
##                            5453) sdbedrooms>=1.152157 8 6.204163e+10 303375.10 *
##                          2727) latitude< 33.125 77 9.786918e+11 281320.90  
##                            5454) longitude>=-117.245 43 2.232678e+11 218555.80  
##                             10908) sdrooms< 4.467807 11 3.134195e+10 175145.50 *
##                             10909) sdrooms>=4.467807 32 1.640711e+11 233478.20  
##                               21818) sdrooms>=5.069518 25 6.512928e+10 217744.00  
##                                 43636) medianIncome< 3.7902 8 1.395854e+10 186762.50 *
##                                 43637) medianIncome>=3.7902 17 3.987835e+10 232323.50 *
##                               21819) sdrooms< 5.069518 7 7.064887e+10 289671.60 *
##                            5455) longitude< -117.245 34 3.717912e+11 360700.20  
##                             10910) latitude>=32.97 16 1.037950e+11 302743.80 *
##                             10911) latitude< 32.97 18 1.664815e+11 412216.90 *
##                     341) longitude< -117.685 1038 3.860880e+12 204335.10  
##                       682) latitude>=33.695 948 2.691924e+12 198155.70  
##                        1364) medianIncome< 4.5264 730 1.640468e+12 189985.30  
##                          2728) longitude>=-117.745 29 1.717951e+10 138003.40  
##                            5456) sdrooms< 5.686097 22 9.946335e+09 132450.00  
##                             10912) longitude< -117.715 12 2.873890e+09 122950.00 *
##                             10913) longitude>=-117.715 10 4.689845e+09 143850.00 *
##                            5457) sdrooms>=5.686097 7 4.422257e+09 155457.10 *
##                          2729) longitude< -117.745 701 1.541685e+12 192135.80  
##                            5458) longitude>=-118.105 545 8.510654e+11 187103.50  
##                             10916) sdrooms< 5.141741 335 3.729337e+11 177921.50  
##                               21832) sdrooms< 3.852883 25 2.228546e+10 149920.00  
##                                 43664) population< 904 10 8.805805e+09 135550.00 *
##                                 43665) population>=904 15 1.003804e+10 159500.00 *
##                               21833) sdrooms>=3.852883 310 3.294653e+11 180179.70  
##                                 43666) latitude>=33.885 162 1.419112e+11 171619.80  
##                                   87332) longitude>=-117.84 9 5.926049e+09 135611.10 *
##                                   87333) longitude< -117.84 153 1.236291e+11 173737.90  
##                                    174666) sdbedrooms< 1.076425 125 8.253709e+10 170019.20  
##                                      349332) longitude>=-117.985 53 2.289611e+10 162720.80  
##                                        698664) longitude< -117.885 45 1.309651e+10 158106.70  
##                                         1397328) population>=1277 38 8.806429e+09 154676.30 *
##                                         1397329) population< 1277 7 1.415494e+09 176728.60 *
##                                        698665) longitude>=-117.885 8 3.452575e+09 188675.00 *
##                                      349333) longitude< -117.985 72 5.473965e+10 175391.70  
##                                        698666) latitude< 34.085 56 2.213097e+10 168698.20  
##                                         1397332) latitude< 33.915 9 2.374256e+09 152022.20 *
##                                         1397333) latitude>=33.915 47 1.677466e+10 171891.50  
##                                           2794666) sdrooms< 4.848966 25 7.216330e+09 165428.00 *
##                                           2794667) sdrooms>=4.848966 22 7.327071e+09 179236.40  
##                                             5589334) longitude< -118.065 14 1.489824e+09 171121.40 *
##                                             5589335) longitude>=-118.065 8 3.301939e+09 193437.50 *
##                                        698667) latitude>=34.085 16 2.131850e+10 198818.80 *
##                                    174667) sdbedrooms>=1.076425 28 3.164643e+10 190339.30  
##                                      349334) population< 1200.5 7 3.082409e+09 164114.30 *
##                                      349335) population>=1200.5 21 2.214501e+10 199081.00  
##                                        698670) medianIncome< 3.652 12 7.638049e+09 185908.30 *
##                                        698671) medianIncome>=3.652 9 9.648462e+09 216644.40 *
##                                 43667) latitude< 33.885 148 1.626911e+11 189549.30  
##                                   87334) sdbedrooms< 1.126755 137 1.299404e+11 187005.80  
##                                    174668) sdrooms< 4.550312 71 5.956183e+10 178659.20  
##                                      349336) latitude< 33.755 22 2.017399e+10 166854.50  
##                                        698672) population< 1744.5 11 4.018049e+09 150809.10 *
##                                        698673) population>=1744.5 11 1.049190e+10 182900.00 *
##                                      349337) latitude>=33.755 49 3.494574e+10 183959.20  
##                                        698674) housingMedianAge< 25.5 26 1.725970e+10 174457.70  
##                                         1397348) longitude>=-117.955 12 5.435302e+09 163625.00 *
##                                         1397349) longitude< -117.955 14 9.209234e+09 183742.90 *
##                                        698675) housingMedianAge>=25.5 23 1.268540e+10 194700.00  
##                                         1397350) population< 1561 12 4.951869e+09 184058.30 *
##                                         1397351) population>=1561 11 4.892109e+09 206309.10 *
##                                    174669) sdrooms>=4.550312 66 6.011108e+10 195984.80  
##                                      349338) housingMedianAge>=25.5 40 1.485843e+10 188967.50 *
##                                      349339) housingMedianAge< 25.5 26 4.025258e+10 206780.80  
##                                        698678) population>=1384.5 14 8.736380e+09 193400.00 *
##                                        698679) population< 1384.5 12 2.608517e+10 222391.70 *
##                                   87335) sdbedrooms>=1.126755 11 2.082598e+10 221227.30 *
##                             10917) sdrooms>=5.141741 210 4.048331e+11 201751.00  
##                               21834) housingMedianAge>=27.5 158 2.059067e+11 194534.20  
##                                 43668) latitude< 34.125 150 1.373212e+11 192390.00  
##                                   87336) latitude>=33.905 93 7.935961e+10 184896.80  
##                                    174672) housingMedianAge>=32.5 78 4.830301e+10 179452.60  
##                                      349344) latitude< 34.065 55 1.550011e+10 173040.00  
##                                        698688) latitude>=34.005 20 3.159262e+09 162130.00 *
##                                        698689) latitude< 34.005 35 8.599967e+09 179274.30  
##                                         1397378) longitude< -117.995 28 3.971977e+09 174671.40 *
##                                         1397379) longitude>=-117.995 7 1.661909e+09 197685.70 *
##                                      349345) latitude>=34.065 23 2.513295e+10 194787.00  
##                                        698690) longitude>=-117.97 16 6.630689e+09 182106.20 *
##                                        698691) longitude< -117.97 7 1.004875e+10 223771.40 *
##                                    174673) housingMedianAge< 32.5 15 1.672297e+10 213206.70 *
##                                   87337) latitude< 33.905 57 4.422002e+10 204615.80  
##                                    174674) sdrooms< 6.100967 42 2.131922e+10 197883.30  
##                                      349348) sdbedrooms>=0.9818716 33 1.096952e+10 191312.10  
##                                        698696) longitude>=-117.915 7 1.113349e+09 171514.30 *
##                                        698697) longitude< -117.915 26 6.373803e+09 196642.30 *
##                                      349349) sdbedrooms< 0.9818716 9 3.699856e+09 221977.80 *
##                                    174675) sdrooms>=6.100967 15 1.566677e+10 223466.70 *
##                                 43669) latitude>=34.125 8 5.496544e+10 234737.50 *
##                               21835) housingMedianAge< 27.5 52 1.656941e+11 223678.80  
##                                 43670) sdrooms< 5.610243 38 6.693970e+10 208610.50  
##                                   87340) sdrooms< 5.291996 13 1.181353e+10 183792.30 *
##                                   87341) sdrooms>=5.291996 25 4.295511e+10 221516.00  
##                                    174682) sdrooms>=5.381578 15 1.821931e+10 203026.70 *
##                                    174683) sdrooms< 5.381578 10 1.191622e+10 249250.00 *
##                                 43671) sdrooms>=5.610243 14 6.670734e+10 264578.60 *
##                            5459) longitude< -118.105 156 6.286005e+11 209716.70  
##                             10918) latitude>=33.795 147 4.148168e+11 203321.80  
##                               21836) latitude< 33.935 83 1.609551e+11 186808.40  
##                                 43672) longitude< -118.195 26 2.571281e+10 149123.10  
##                                   87344) latitude>=33.875 9 1.313562e+09 119344.40 *
##                                   87345) latitude< 33.875 17 1.219316e+10 164888.20 *
##                                 43673) longitude>=-118.195 57 8.147457e+10 203998.20  
##                                   87346) latitude>=33.865 34 4.008487e+10 189126.50  
##                                    174692) sdrooms< 4.24784 7 4.253697e+09 151057.10 *
##                                    174693) sdrooms>=4.24784 27 2.305609e+10 198996.30  
##                                      349386) medianIncome>=3.6111 19 1.230828e+10 189363.20 *
##                                      349387) medianIncome< 3.6111 8 4.797175e+09 221875.00 *
##                                   87347) latitude< 33.865 23 2.275375e+10 225982.60  
##                                    174694) latitude>=33.835 14 6.395543e+08 215142.90 *
##                                    174695) latitude< 33.835 9 1.791030e+10 242844.40 *
##                               21837) latitude>=33.935 64 2.018758e+11 224737.50  
##                                 43674) sdrooms< 4.2028 23 3.119618e+10 188456.50  
##                                   87348) medianIncome< 3.42365 12 8.241169e+09 168241.70 *
##                                   87349) medianIncome>=3.42365 11 1.270185e+10 210509.10 *
##                                 43675) sdrooms>=4.2028 41 1.234209e+11 245090.20  
##                                   87350) population< 2555 33 8.275829e+10 236103.00  
##                                    174700) longitude>=-118.215 25 4.740388e+10 224952.00  
##                                      349400) latitude>=34.055 11 1.083128e+10 193927.30 *
##                                      349401) latitude< 34.055 14 1.766569e+10 249328.60 *
##                                    174701) longitude< -118.215 8 2.253128e+10 270950.00 *
##                                   87351) population>=2555 8 2.700240e+10 282162.50 *
##                             10919) latitude< 33.795 9 1.095835e+11 314166.90 *
##                        1365) medianIncome>=4.5264 218 8.395431e+11 225515.10  
##                          2730) latitude< 34.125 202 6.245337e+11 218937.60  
##                            5460) latitude>=33.755 174 3.030280e+11 212169.50  
##                             10920) sdrooms< 5.228571 48 5.020015e+10 187160.40  
##                               21840) medianIncome>=4.58665 40 3.171436e+10 179810.00  
##                                 43680) sdrooms< 4.63845 7 7.343609e+09 148014.30 *
##                                 43681) sdrooms>=4.63845 33 1.579284e+10 186554.50  
##                                   87362) longitude>=-118.105 25 9.643622e+09 181448.00  
##                                    174724) housingMedianAge>=28.5 14 2.432672e+09 172364.30 *
##                                    174725) housingMedianAge< 28.5 11 4.585509e+09 193009.10 *
##                                   87363) longitude< -118.105 8 3.460049e+09 202512.50 *
##                               21841) medianIncome< 4.58665 8 5.518929e+09 223912.50 *
##                             10921) sdrooms>=5.228571 126 2.113691e+11 221696.80  
##                               21842) population< 1857.5 102 1.141817e+11 213705.90  
##                                 43684) longitude>=-118.005 44 3.051631e+10 199940.90  
##                                   87368) sdrooms< 6.138278 37 2.013845e+10 194316.20  
##                                    174736) sdbedrooms>=1.015993 14 4.366937e+09 181514.30 *
##                                    174737) sdbedrooms< 1.015993 23 1.208044e+10 202108.70  
##                                      349474) housingMedianAge>=34.5 8 1.778399e+09 183162.50 *
##                                      349475) housingMedianAge< 34.5 15 5.898817e+09 212213.30 *
##                                   87369) sdrooms>=6.138278 7 3.019954e+09 229671.40 *
##                                 43685) longitude< -118.005 58 6.900402e+10 224148.30  
##                                   87370) latitude< 33.975 51 4.903478e+10 219613.70  
##                                    174740) population< 646.5 9 5.747620e+09 196966.70 *
##                                    174741) population>=646.5 42 3.768201e+10 224466.70  
##                                      349482) latitude< 33.935 35 2.327340e+10 218868.60  
##                                        698964) latitude>=33.875 8 1.535715e+09 188675.00 *
##                                        698965) latitude< 33.875 27 1.228351e+10 227814.80 *
##                                      349483) latitude>=33.935 7 7.827497e+09 252457.10 *
##                                   87371) latitude>=33.975 7 1.128027e+10 257185.70 *
##                               21843) population>=1857.5 24 6.299288e+10 255658.30  
##                                 43686) population>=2375 17 1.798514e+10 240817.60 *
##                                 43687) population< 2375 7 3.217054e+10 291700.00 *
##                            5461) latitude< 33.755 28 2.640048e+11 260996.50  
##                             10922) longitude>=-118.025 21 3.646883e+10 217185.70  
##                               21844) sdrooms< 5.148981 9 7.203020e+09 192366.70 *
##                               21845) sdrooms>=5.148981 12 1.956404e+10 235800.00 *
##                             10923) longitude< -118.025 7 6.630789e+10 392428.70 *
##                          2731) latitude>=34.125 16 9.593678e+10 308556.30 *
##                       683) latitude< 33.695 90 7.514603e+11 269424.50  
##                        1366) housingMedianAge< 20.5 57 3.002014e+11 239894.80  
##                          2732) latitude>=33.53 50 1.593360e+11 227582.00  
##                            5464) sdbedrooms>=1.068099 30 6.835507e+10 206653.30  
##                             10928) medianIncome< 3.48025 7 1.258536e+10 179500.00 *
##                             10929) medianIncome>=3.48025 23 4.903781e+10 214917.40  
##                               21858) sdbedrooms< 1.148296 15 1.231683e+10 201926.70 *
##                               21859) sdbedrooms>=1.148296 8 2.944326e+10 239275.00 *
##                            5465) sdbedrooms< 1.068099 20 5.813026e+10 258975.00  
##                             10930) population< 1131.5 10 2.086086e+10 240880.00 *
##                             10931) population>=1131.5 10 3.072082e+10 277070.00 *
##                          2733) latitude< 33.53 7 7.914090e+10 327843.00 *
##                        1367) housingMedianAge>=20.5 33 3.157016e+11 320430.40  
##                          2734) latitude>=33.625 22 9.592092e+10 277190.90  
##                            5468) housingMedianAge< 27 13 5.651220e+10 252984.60 *
##                            5469) housingMedianAge>=27 9 2.078870e+10 312155.60 *
##                          2735) latitude< 33.625 11 9.638345e+10 406909.50 *
##                   171) longitude< -118.275 673 5.954416e+12 267402.10  
##                     342) latitude>=34.165 367 1.658948e+12 228429.40  
##                       684) longitude>=-119.225 316 7.895999e+11 214247.20  
##                        1368) sdrooms< 5.031253 152 2.252515e+11 197173.00  
##                          2736) latitude>=34.225 69 5.610385e+10 176044.90  
##                            5472) longitude>=-118.455 37 7.650319e+09 157394.60  
##                             10944) sdrooms< 4.858832 30 2.892747e+09 152533.30 *
##                             10945) sdrooms>=4.858832 7 1.010234e+09 178228.60 *
##                            5473) longitude< -118.455 32 2.070283e+10 197609.40  
##                             10946) population< 2865 25 1.397406e+10 192048.00  
##                               21892) sdbedrooms>=1.015544 12 8.431607e+09 181266.70 *
##                               21893) sdbedrooms< 1.015544 13 2.860060e+09 202000.00 *
##                             10947) population>=2865 7 3.194034e+09 217471.40 *
##                          2737) latitude< 34.225 83 1.127403e+11 214737.30  
##                            5474) sdrooms< 4.317494 27 1.757101e+10 193059.30  
##                             10948) latitude>=34.195 11 5.975182e+09 180127.30 *
##                             10949) latitude< 34.195 16 8.491500e+09 201950.00 *
##                            5475) sdrooms>=4.317494 56 7.636331e+10 225189.30  
##                             10950) sdrooms>=4.582979 38 3.672669e+10 214863.20  
##                               21900) housingMedianAge>=31.5 18 1.075652e+10 197961.10 *
##                               21901) housingMedianAge< 31.5 20 1.619994e+10 230075.00  
##                                 43802) longitude< -118.88 8 2.875020e+09 209450.00 *
##                                 43803) longitude>=-118.88 12 7.653042e+09 243825.00 *
##                             10951) sdrooms< 4.582979 18 2.703072e+10 246988.90 *
##                        1369) sdrooms>=5.031253 164 4.789669e+11 230072.00  
##                          2738) latitude>=34.185 148 3.948005e+11 225425.00  
##                            5476) sdrooms< 6.656846 141 2.937804e+11 222185.10  
##                             10952) longitude>=-118.465 47 1.008008e+11 203838.30  
##                               21904) longitude< -118.365 35 1.607675e+10 185142.90  
##                                 43808) population>=1578.5 14 5.026794e+09 174057.10 *
##                                 43809) population< 1578.5 21 8.182447e+09 192533.30 *
##                               21905) longitude>=-118.365 12 3.681079e+10 258366.70 *
##                             10953) longitude< -118.465 94 1.692488e+11 231358.50  
##                               21906) medianIncome< 4.3326 31 2.500673e+10 214435.50  
##                                 43812) medianIncome>=4.12845 10 3.428689e+09 200890.00 *
##                                 43813) medianIncome< 4.12845 21 1.886953e+10 220885.70  
##                                   87626) housingMedianAge>=30.5 10 3.961281e+09 208130.00 *
##                                   87627) housingMedianAge< 30.5 11 1.180200e+10 232481.80 *
##                               21907) medianIncome>=4.3326 63 1.309955e+11 239685.70  
##                                 43814) population< 2225 53 4.969614e+10 232624.50  
##                                   87628) sdrooms>=5.281631 46 2.964542e+10 228910.90  
##                                    175256) sdrooms< 5.82091 23 7.984686e+09 218413.00 *
##                                    175257) sdrooms>=5.82091 23 1.659134e+10 239408.70 *
##                                   87629) sdrooms< 5.281631 7 1.524741e+10 257028.60 *
##                                 43815) population>=2225 10 6.465099e+10 277110.00 *
##                            5477) sdrooms>=6.656846 7 6.972725e+10 290685.90 *
##                          2739) latitude< 34.185 16 5.140802e+10 273056.20 *
##                       685) longitude< -119.225 51 4.119702e+11 316304.00  
##                        1370) sdbedrooms< 1.074127 28 1.131640e+11 271417.90  
##                          2740) medianIncome< 3.9649 13 3.271755e+10 236807.70 *
##                          2741) medianIncome>=3.9649 15 5.137828e+10 301413.30 *
##                        1371) sdbedrooms>=1.074127 23 1.737154e+11 370948.00  
##                          2742) medianIncome< 3.6441 7 2.738681e+10 301814.30 *
##                          2743) medianIncome>=3.6441 16 9.823514e+10 401194.10 *
##                     343) latitude< 34.165 306 3.069496e+12 314143.90  
##                       686) longitude>=-118.365 146 8.598651e+11 258716.50  
##                        1372) latitude< 33.985 125 4.744003e+11 243061.60  
##                          2744) latitude>=33.885 48 7.666394e+10 201456.20  
##                            5488) latitude>=33.915 20 3.235733e+10 172260.00  
##                             10976) housingMedianAge>=31.5 13 3.392292e+09 159346.20 *
##                             10977) housingMedianAge< 31.5 7 2.277082e+10 196242.90 *
##                            5489) latitude< 33.915 28 1.508075e+10 222310.70  
##                             10978) longitude>=-118.33 13 5.089083e+09 205476.90 *
##                             10979) longitude< -118.33 15 3.115060e+09 236900.00 *
##                          2745) latitude< 33.885 77 2.628529e+11 268997.40  
##                            5490) longitude>=-118.305 35 1.077185e+11 233771.40  
##                             10980) latitude>=33.765 27 5.084743e+10 216796.30  
##                               21960) sdrooms< 4.888655 19 2.220741e+10 199978.90 *
##                               21961) sdrooms>=4.888655 8 1.050398e+10 256737.50 *
##                             10981) latitude< 33.765 8 2.283272e+10 291062.50 *
##                            5491) longitude< -118.305 42 7.551196e+10 298352.40  
##                             10982) latitude>=33.855 20 8.979378e+09 268290.00 *
##                             10983) latitude< 33.855 22 3.202589e+10 325681.80  
##                               21966) medianIncome< 4.05665 10 1.431868e+10 298750.00 *
##                               21967) medianIncome>=4.05665 12 4.409622e+09 348125.00 *
##                        1373) latitude>=33.985 21 1.724835e+11 351900.10  
##                          2746) latitude>=34.155 7 1.441251e+10 278671.40 *
##                          2747) latitude< 34.155 14 1.017653e+11 388514.40 *
##                       687) longitude< -118.365 160 1.351795e+12 364721.40  
##                        1374) longitude< -118.865 11 4.242579e+10 235954.50 *
##                        1375) longitude>=-118.865 149 1.113515e+12 374227.70  
##                          2750) longitude>=-118.425 91 6.236687e+11 353650.60  
##                            5500) sdrooms< 3.86956 19 1.057467e+11 300089.50 *
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##                          3071) sdrooms>=4.315113 18 2.500000e+00 500000.80 *
##         3) medianIncome>=5.09635 2904 3.516737e+13 332857.50  
##           6) medianIncome< 7.11015 2106 1.872440e+13 295384.60  
##            12) housingMedianAge< 27.5 1292 8.666544e+12 270861.60  
##              24) medianIncome< 6.30095 966 6.134732e+12 255748.50  
##                48) latitude>=37.955 141 4.053690e+11 208143.30  
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##                   192) latitude>=39.06 7 1.032443e+10 137471.40 *
##                   193) latitude< 39.06 109 1.783434e+11 199458.70  
##                     386) medianIncome< 5.4132 40 3.991044e+10 181645.00  
##                       772) sdbedrooms< 1.011595 17 9.419579e+09 167564.70 *
##                       773) sdbedrooms>=1.011595 23 2.462942e+10 192052.20  
##                        1546) sdrooms>=6.564555 14 1.538286e+10 181050.00 *
##                        1547) sdrooms< 6.564555 9 4.915740e+09 209166.70 *
##                     387) medianIncome>=5.4132 69 1.183815e+11 209785.50  
##                       774) medianIncome< 6.1298 59 9.383405e+10 205125.40  
##                        1548) latitude< 38.355 33 3.940734e+10 196615.20  
##                          3096) housingMedianAge< 20.5 26 2.877159e+10 189496.20  
##                            6192) medianIncome>=6.0238 7 4.681377e+09 164257.10 *
##                            6193) medianIncome< 6.0238 19 1.798835e+10 198794.70 *
##                          3097) housingMedianAge>=20.5 7 4.423817e+09 223057.10 *
##                        1549) latitude>=38.355 26 4.900321e+10 215926.90  
##                          3098) sdbedrooms< 1.052473 18 1.430320e+10 200644.40 *
##                          3099) sdbedrooms>=1.052473 8 2.103709e+10 250312.50 *
##                       775) medianIncome>=6.1298 10 1.570670e+10 237280.00 *
##                  97) longitude< -122.345 25 9.042271e+10 265796.00  
##                   194) housingMedianAge< 18.5 18 4.648749e+10 247094.40 *
##                   195) housingMedianAge>=18.5 7 2.145141e+10 313885.70 *
##                49) latitude< 37.955 825 5.355208e+12 263884.60  
##                  98) sdbedrooms< 1.090655 684 3.545749e+12 254522.50  
##                   196) longitude>=-122.185 665 3.168809e+12 251169.20  
##                     392) medianIncome< 5.59005 309 1.480940e+12 230598.70  
##                       784) longitude>=-117.825 112 3.708820e+11 203515.20  
##                        1568) sdbedrooms< 1.032508 65 9.422907e+10 185695.40  
##                          3136) sdrooms< 6.173196 34 4.607218e+10 173750.00  
##                            6272) longitude>=-117.74 27 3.296853e+10 164774.10  
##                             12544) medianIncome< 5.2314 8 5.088149e+09 136712.50 *
##                             12545) medianIncome>=5.2314 19 1.892830e+10 176589.50 *
##                            6273) longitude< -117.74 7 2.537834e+09 208371.40 *
##                          3137) sdrooms>=6.173196 31 3.798431e+10 198796.80  
##                            6274) sdbedrooms>=0.9827183 24 1.745124e+10 189108.30  
##                             12548) longitude>=-117.54 17 9.122841e+09 182341.20 *
##                             12549) longitude< -117.54 7 5.659237e+09 205542.90 *
##                            6275) sdbedrooms< 0.9827183 7 1.055647e+10 232014.30 *
##                        1569) sdbedrooms>=1.032508 47 2.274672e+11 228159.60  
##                          3138) latitude>=33.635 23 2.178614e+10 194373.90  
##                            6276) longitude>=-117.37 7 5.785329e+09 172214.30 *
##                            6277) longitude< -117.37 16 1.105963e+10 204068.80 *
##                          3139) latitude< 33.635 24 1.542672e+11 260537.50  
##                            6278) longitude>=-117.225 13 2.232779e+10 218407.70 *
##                            6279) longitude< -117.225 11 8.159612e+10 310327.40 *
##                       785) longitude< -117.825 197 9.811968e+11 245996.50  
##                        1570) latitude>=34.67 93 4.185665e+11 220266.70  
##                          3140) longitude>=-120.435 21 8.786818e+09 129423.80  
##                            6280) medianIncome< 5.26015 8 7.800150e+08 111275.00 *
##                            6281) medianIncome>=5.26015 13 3.750209e+09 140592.30 *
##                          3141) longitude< -120.435 72 1.859327e+11 246762.50  
##                            6282) latitude>=37.4 33 5.676580e+10 226475.80  
##                             12564) longitude>=-121.87 10 6.811716e+09 184780.00 *
##                             12565) longitude< -121.87 23 2.500987e+10 244604.30  
##                               25130) latitude< 37.695 16 1.148538e+10 231862.50 *
##                               25131) latitude>=37.695 7 4.989274e+09 273728.60 *
##                            6283) latitude< 37.4 39 1.040939e+11 263928.20  
##                             12566) longitude>=-121.955 29 5.930777e+10 252824.10  
##                               25132) latitude>=37.03 20 2.116673e+10 239320.00  
##                                 50264) sdbedrooms>=1.014543 11 7.671936e+09 226381.80 *
##                                 50265) sdbedrooms< 1.014543 9 9.402880e+09 255133.30 *
##                               25133) latitude< 37.03 9 2.638884e+10 282833.30 *
##                             12567) longitude< -121.955 10 3.084084e+10 296130.00 *
##                        1571) latitude< 34.67 104 4.460062e+11 269004.80  
##                          3142) sdbedrooms< 1.072381 92 3.250374e+11 260282.60  
##                            6284) longitude>=-119.21 80 2.160711e+11 249167.50  
##                             12568) population< 1836.5 46 7.092052e+10 230834.80  
##                               25136) latitude>=33.82 31 2.643178e+10 219225.80  
##                                 50272) sdrooms< 5.470088 8 3.556300e+09 194100.00 *
##                                 50273) sdrooms>=5.470088 23 1.606835e+10 227965.20  
##                                  100546) medianIncome>=5.28695 15 6.046909e+09 217406.70 *
##                                  100547) medianIncome< 5.28695 8 5.213739e+09 247762.50 *
##                               25137) latitude< 33.82 15 3.167677e+10 254826.70 *
##                             12569) population>=1836.5 34 1.087739e+11 273970.60  
##                               25138) sdrooms>=6.006683 16 1.976105e+10 249368.80 *
##                               25139) sdrooms< 6.006683 18 7.072086e+10 295838.90 *
##                            6285) longitude< -119.21 12 3.319162e+10 334383.30 *
##                          3143) sdbedrooms>=1.072381 12 6.031019e+10 335875.10 *
##                     393) medianIncome>=5.59005 356 1.443629e+12 269023.90  
##                       786) sdbedrooms< 0.9056591 11 2.614234e+10 188727.30 *
##                       787) sdbedrooms>=0.9056591 345 1.344302e+12 271584.10  
##                        1574) sdrooms>=5.35761 325 1.133396e+12 268485.90  
##                          3148) longitude>=-121.975 298 9.918255e+11 265001.30  
##                            6296) latitude>=34.015 145 4.304817e+11 254499.30  
##                             12592) longitude>=-117.725 10 1.530858e+10 183200.00 *
##                             12593) longitude< -117.725 135 3.605716e+11 259780.70  
##                               25186) housingMedianAge< 13.5 27 9.538889e+10 226911.10  
##                                 50372) longitude>=-120.125 16 3.866358e+10 194162.50 *
##                                 50373) longitude< -120.125 11 1.460643e+10 274545.50 *
##                               25187) housingMedianAge>=13.5 108 2.287188e+11 267998.10  
##                                 50374) housingMedianAge< 25.5 90 1.641853e+11 263223.30  
##                                  100748) medianIncome< 6.12095 68 1.292917e+11 257635.30  
##                                    201496) longitude>=-120.88 29 5.422505e+10 238513.80  
##                                      402992) latitude>=34.265 18 1.689754e+10 218150.00 *
##                                      402993) latitude< 34.265 11 1.764887e+10 271836.40 *
##                                    201497) longitude< -120.88 39 5.657878e+10 271853.80  
##                                      402994) latitude>=37.235 27 1.510321e+10 257659.30  
##                                        805988) sdrooms< 6.23637 11 2.583525e+09 242936.40 *
##                                        805989) sdrooms>=6.23637 16 8.496004e+09 267781.20 *
##                                      402995) latitude< 37.235 12 2.379515e+10 303791.70 *
##                                  100749) medianIncome>=6.12095 22 2.620709e+10 280495.50  
##                                    201498) population>=1641.5 9 5.217416e+09 263277.80 *
##                                    201499) population< 1641.5 13 1.647454e+10 292415.40 *
##                                 50375) housingMedianAge>=25.5 18 5.222212e+10 291872.20 *
##                            6297) latitude< 34.015 153 5.301951e+11 274954.30  
##                             12594) longitude>=-116.895 7 4.093479e+10 203114.30 *
##                             12595) longitude< -116.895 146 4.514013e+11 278398.60  
##                               25190) longitude>=-118.045 133 3.464279e+11 274003.80  
##                                 50380) sdrooms< 6.468549 78 1.441955e+11 264528.20  
##                                  100760) latitude< 33.885 68 9.472771e+10 258344.10  
##                                    201520) sdbedrooms< 1.061641 61 6.268455e+10 254067.20  
##                                      403040) population< 1161 18 2.514167e+10 236794.40 *
##                                      403041) population>=1161 43 2.992459e+10 261297.70  
##                                        806082) latitude< 33.815 36 1.937544e+10 256505.60  
##                                         1612164) sdbedrooms>=0.9770058 27 1.102266e+10 249337.00  
##                                           3224328) medianIncome< 5.82395 7 2.279834e+09 233428.60 *
##                                           3224329) medianIncome>=5.82395 20 6.351230e+09 254905.00 *
##                                         1612165) sdbedrooms< 0.9770058 9 2.802909e+09 278011.10 *
##                                        806083) latitude>=33.815 7 5.470737e+09 285942.90 *
##                                    201521) sdbedrooms>=1.061641 7 2.120389e+10 295614.30 *
##                                  100761) latitude>=33.885 10 2.918378e+10 306580.00 *
##                                 50381) sdrooms>=6.468549 55 1.852970e+11 287441.80  
##                                  100762) medianIncome< 5.77665 9 7.423202e+09 245855.60 *
##                                  100763) medianIncome>=5.77665 46 1.592638e+11 295578.30  
##                                    201526) medianIncome>=5.95745 34 3.367906e+10 282011.80  
##                                      403052) medianIncome< 6.0851 8 2.004499e+09 252762.50 *
##                                      403053) medianIncome>=6.0851 26 2.272451e+10 291011.50  
##                                        806106) population>=2024 8 1.190219e+09 266837.50 *
##                                        806107) population< 2024 18 1.478140e+10 301755.60 *
##                                    201527) medianIncome< 5.95745 12 1.015968e+11 334016.80 *
##                               25191) longitude< -118.045 13 7.612284e+10 323361.60 *
##                          3149) longitude< -121.975 27 9.801727e+10 306944.40  
##                            6298) latitude>=37.37 19 3.119518e+10 282600.00 *
##                            6299) latitude< 37.37 8 2.881828e+10 364762.50 *
##                        1575) sdrooms< 5.35761 20 1.570924e+11 321930.10  
##                          3150) sdbedrooms< 1.046567 12 7.047403e+10 285933.40 *
##                          3151) sdbedrooms>=1.046567 8 4.774552e+10 375925.10 *
##                   197) longitude< -122.185 19 1.077362e+11 371889.50 *
##                  99) sdbedrooms>=1.090655 141 1.458676e+12 309300.80  
##                   198) longitude>=-118.055 76 5.818224e+11 277404.00  
##                     396) latitude>=33.645 39 1.424099e+11 235856.40  
##                       792) longitude>=-117.26 8 6.777069e+09 186287.50 *
##                       793) longitude< -117.26 31 1.109035e+11 248648.40  
##                        1586) population< 1044 12 5.211929e+09 221658.30 *
##                        1587) population>=1044 19 9.142905e+10 265694.70 *
##                     397) latitude< 33.645 37 3.011296e+11 321197.40  
##                       794) sdbedrooms< 1.244031 27 1.239746e+11 301522.30  
##                        1588) population>=1208 14 3.095385e+10 265028.60 *
##                        1589) population< 1208 13 5.429640e+10 340823.20 *
##                       795) sdbedrooms>=1.244031 10 1.384825e+11 374320.40 *
##                   199) longitude< -118.055 65 7.091226e+11 346595.60  
##                     398) latitude>=34.185 45 3.539845e+11 306206.70  
##                       796) longitude>=-121.855 30 1.950261e+11 285766.70  
##                        1592) latitude>=34.625 17 9.262404e+10 252252.90 *
##                        1593) latitude< 34.625 13 5.833927e+10 329592.30 *
##                       797) longitude< -121.855 15 1.213567e+11 347086.90 *
##                     399) latitude< 34.185 20 1.165663e+11 437470.60  
##                       798) longitude>=-118.425 8 3.221413e+10 362575.10 *
##                       799) longitude< -118.425 12 9.561132e+09 487400.80 *
##              25) medianIncome>=6.30095 326 1.657374e+12 315644.50  
##                50) sdbedrooms< 1.13453 295 1.314183e+12 309734.30  
##                 100) housingMedianAge< 17.5 161 6.369028e+11 295330.50  
##                   200) longitude>=-121.645 116 4.670380e+11 287019.00  
##                     400) latitude>=34.415 18 8.973958e+10 220616.70 *
##                     401) latitude< 34.415 98 2.833541e+11 299215.30  
##                       802) longitude>=-117.16 23 5.030225e+10 266030.40  
##                        1604) medianIncome< 6.76145 16 2.264546e+10 251537.50 *
##                        1605) medianIncome>=6.76145 7 1.661442e+10 299157.10 *
##                       803) longitude< -117.16 75 1.999560e+11 309392.00  
##                        1606) sdrooms>=6.764834 46 6.661424e+10 296721.70  
##                          3212) sdrooms< 6.968251 15 1.914348e+10 279420.00 *
##                          3213) sdrooms>=6.968251 31 4.080780e+10 305093.50  
##                            6426) medianIncome< 6.9622 24 3.074304e+10 298137.50  
##                             12852) medianIncome>=6.3978 17 1.278320e+10 287500.00 *
##                             12853) medianIncome< 6.3978 7 1.136443e+10 323971.40 *
##                            6427) medianIncome>=6.9622 7 4.921957e+09 328942.90 *
##                        1607) sdrooms< 6.764834 29 1.142434e+11 329489.70  
##                          3214) housingMedianAge< 9.5 10 1.653714e+10 297620.00 *
##                          3215) housingMedianAge>=9.5 19 8.220384e+10 346263.30 *
##                   201) longitude< -121.645 45 1.411948e+11 316755.60  
##                     402) latitude>=37.94 12 2.868642e+10 271583.30 *
##                     403) latitude< 37.94 33 7.911786e+10 333181.80  
##                       806) housingMedianAge>=11 25 3.029791e+10 321916.00  
##                        1612) longitude>=-121.865 8 6.717539e+09 296862.50 *
##                        1613) longitude< -121.865 17 1.619593e+10 333705.90 *
##                       807) housingMedianAge< 11 8 3.573139e+10 368387.60 *
##                 101) housingMedianAge>=17.5 134 6.037448e+11 327040.40  
##                   202) longitude>=-122.025 113 4.908515e+11 319335.50  
##                     404) sdrooms>=6.584945 83 2.418670e+11 308954.20  
##                       808) population< 934.5 21 3.801143e+10 283733.30  
##                        1616) medianIncome< 6.51235 8 1.841022e+10 261437.50 *
##                        1617) medianIncome>=6.51235 13 1.317709e+10 297453.80 *
##                       809) population>=934.5 62 1.859731e+11 317496.80  
##                        1618) latitude>=37.225 13 1.573073e+10 286761.50 *
##                        1619) latitude< 37.225 49 1.547037e+11 325651.10  
##                          3238) latitude< 33.94 33 6.959452e+10 309254.50  
##                            6476) housingMedianAge>=19.5 26 2.484901e+10 301215.40  
##                             12952) longitude>=-117.955 15 1.179343e+10 289273.30 *
##                             12953) longitude< -117.955 11 7.999320e+09 317500.00 *
##                            6477) housingMedianAge< 19.5 7 3.682395e+10 339114.30 *
##                          3239) latitude>=33.94 16 5.793896e+10 359468.90 *
##                     405) sdrooms< 6.584945 30 2.152922e+11 348056.80  
##                       810) sdbedrooms< 0.9845232 10 2.132115e+10 286290.00 *
##                       811) sdbedrooms>=0.9845232 20 1.367440e+11 378940.20  
##                        1622) longitude< -121.805 7 1.507504e+10 314657.10 *
##                        1623) longitude>=-121.805 13 7.716718e+10 413554.20 *
##                   203) longitude< -122.025 21 7.008787e+10 368500.10  
##                     406) latitude>=37.6 14 2.239299e+10 344971.40 *
##                     407) latitude< 37.6 7 2.444375e+10 415557.40 *
##                51) sdbedrooms>=1.13453 31 2.348257e+11 371887.30  
##                 102) housingMedianAge< 11 17 6.851842e+10 321029.40 *
##                 103) housingMedianAge>=11 14 6.894315e+10 433643.30 *
##            13) housingMedianAge>=27.5 814 8.047627e+12 334308.20  
##              26) medianIncome< 5.83665 474 4.391998e+12 304186.10  
##                52) housingMedianAge< 36.5 296 2.515015e+12 284897.70  
##                 104) sdbedrooms< 1.08011 253 1.652926e+12 271809.90  
##                   208) longitude>=-118.035 73 3.408388e+11 236504.10  
##                     416) sdrooms>=5.351636 66 1.929939e+11 229640.90  
##                       832) sdrooms< 6.34566 50 1.105709e+11 218132.00  
##                        1664) medianIncome< 5.53615 43 2.618677e+10 210572.10  
##                          3328) latitude< 33.35 7 3.509294e+09 191628.60 *
##                          3329) latitude>=33.35 36 1.967703e+10 214255.60  
##                            6658) medianIncome< 5.2776 23 6.870592e+09 204934.80 *
##                            6659) medianIncome>=5.2776 13 7.273052e+09 230746.20 *
##                        1665) medianIncome>=5.53615 7 6.683019e+10 264571.60 *
##                       833) sdrooms>=6.34566 16 5.510419e+10 265606.20 *
##                     417) sdrooms< 5.351636 7 1.154242e+11 301214.30 *
##                   209) longitude< -118.035 180 1.184190e+12 286128.40  
##                     418) sdbedrooms< 0.9276585 11 3.003849e+10 204763.60 *
##                     419) sdbedrooms>=0.9276585 169 1.076589e+12 291424.30  
##                       838) sdrooms>=5.39862 132 7.602748e+11 281542.40  
##                        1676) latitude>=37.94 13 3.633062e+10 226076.90 *
##                        1677) latitude< 37.94 119 6.795817e+11 287601.70  
##                          3354) sdrooms< 5.595063 28 1.175672e+11 254992.90  
##                            6708) sdbedrooms< 0.9913516 10 1.642354e+10 216140.00 *
##                            6709) sdbedrooms>=0.9913516 18 7.766187e+10 276577.80 *
##                          3355) sdrooms>=5.595063 91 5.230800e+11 297635.20  
##                            6710) sdbedrooms>=1.048277 18 5.588242e+10 248250.00 *
##                            6711) sdbedrooms< 1.048277 73 4.124728e+11 309812.30  
##                             13422) sdbedrooms< 1.037302 65 3.499261e+11 303753.90  
##                               26844) sdbedrooms>=0.9560486 58 2.946270e+11 297591.40  
##                                 53688) housingMedianAge>=34.5 31 9.874540e+10 279845.20  
##                                  107376) sdbedrooms>=1.019762 7 1.671107e+10 239885.70 *
##                                  107377) sdbedrooms< 1.019762 24 6.759698e+10 291500.00  
##                                    214754) sdbedrooms< 0.9933758 10 1.019322e+10 260650.00 *
##                                    214755) sdbedrooms>=0.9933758 14 4.108851e+10 313535.70 *
##                                 53689) housingMedianAge< 34.5 27 1.749096e+11 317966.70  
##                                  107378) population>=1334 14 3.619386e+10 290978.60 *
##                                  107379) population< 1334 13 1.175373e+11 347030.80 *
##                               26845) sdbedrooms< 0.9560486 7 3.484639e+10 354814.30 *
##                             13423) sdbedrooms>=1.037302 8 4.077590e+10 359037.50 *
##                       839) sdrooms< 5.39862 37 2.574384e+11 326678.40  
##                        1678) sdbedrooms< 1.008865 23 1.150364e+11 300587.00  
##                          3356) medianIncome< 5.21925 7 1.043896e+10 251142.90 *
##                          3357) medianIncome>=5.21925 16 7.999738e+10 322218.80 *
##                        1679) sdbedrooms>=1.008865 14 1.010214e+11 369542.90 *
##                 105) sdbedrooms>=1.08011 43 5.637735e+11 361902.60  
##                   210) latitude>=34.19 20 2.173479e+11 304230.20  
##                     420) housingMedianAge>=34.5 8 3.478508e+10 247237.50 *
##                     421) housingMedianAge< 34.5 12 1.392540e+11 342225.20 *
##                   211) latitude< 34.19 23 2.220580e+11 412052.50  
##                     422) medianIncome>=5.3654 13 1.514164e+11 373277.20 *
##                     423) medianIncome< 5.3654 10 2.568606e+10 462460.50 *
##                53) housingMedianAge>=36.5 178 1.583728e+12 336261.30  
##                 106) sdbedrooms< 0.9268041 10 4.554638e+10 234120.00 *
##                 107) sdbedrooms>=0.9268041 168 1.427643e+12 342341.20  
##                   214) longitude>=-118.335 65 5.807897e+11 311798.50  
##                     428) latitude>=33.7 55 3.513608e+11 290412.70  
##                       856) latitude< 34.09 24 6.696364e+10 229650.00  
##                        1712) population< 640 7 2.234328e+10 198057.10 *
##                        1713) population>=640 17 3.475670e+10 242658.80 *
##                       857) latitude>=34.09 31 1.271847e+11 337454.80  
##                        1714) medianIncome>=5.41945 15 3.558264e+10 305460.00 *
##                        1715) medianIncome< 5.41945 16 6.185170e+10 367450.00 *
##                     429) latitude< 33.7 10 6.592530e+10 429420.50 *
##                   215) longitude< -118.335 103 7.479533e+11 361615.60  
##                     430) latitude>=36.555 63 3.923422e+11 334100.00  
##                       860) longitude>=-122.235 21 8.454936e+10 280623.80  
##                        1720) medianIncome< 5.26585 7 1.960070e+10 242100.00 *
##                        1721) medianIncome>=5.26585 14 4.936578e+10 299885.70 *
##                       861) longitude< -122.235 42 2.177121e+11 360838.10  
##                        1722) medianIncome< 5.1737 7 8.777617e+09 278442.90 *
##                        1723) medianIncome>=5.1737 35 1.519070e+11 377317.20  
##                          3446) population< 730 11 1.022271e+10 339909.10 *
##                          3447) population>=730 24 1.192361e+11 394462.60  
##                            6894) medianIncome< 5.62205 16 7.632458e+10 372893.80 *
##                            6895) medianIncome>=5.62205 8 2.058138e+10 437600.10 *
##                     431) latitude< 36.555 40 2.327892e+11 404952.70  
##                       862) latitude< 34.035 22 1.138343e+11 370441.00  
##                        1724) medianIncome>=5.39255 10 1.215262e+10 328580.00 *
##                        1725) medianIncome< 5.39255 12 6.955536e+10 405325.20 *
##                       863) latitude>=34.035 18 6.072532e+10 447133.70 *
##              27) medianIncome>=5.83665 340 2.625969e+12 376301.90  
##                54) housingMedianAge< 39.5 233 1.755740e+12 361662.30  
##                 108) medianIncome< 6.5685 165 1.248728e+12 344915.80  
##                   216) sdbedrooms< 0.9566343 19 1.337199e+11 271936.80 *
##                   217) sdbedrooms>=0.9566343 146 1.000646e+12 354413.10  
##                     434) longitude>=-118.345 44 3.178182e+11 322547.80  
##                       868) latitude>=33.73 36 1.895320e+11 303216.70  
##                        1736) latitude< 34.105 26 7.657404e+10 273738.50  
##                          3472) medianIncome< 6.05235 12 1.317197e+10 248208.30 *
##                          3473) medianIncome>=6.05235 14 4.887652e+10 295621.40 *
##                        1737) latitude>=34.105 10 3.162268e+10 379860.10 *
##                       869) latitude< 33.73 8 5.429528e+10 409537.80 *
##                     435) longitude< -118.345 102 6.188777e+11 368158.90  
##                       870) latitude>=34.165 74 4.027287e+11 347850.10  
##                        1740) longitude>=-122.105 40 1.687833e+11 318397.50  
##                          3480) population< 1183 21 1.086517e+11 297885.70  
##                            6960) sdbedrooms>=1.006619 13 5.865864e+10 267484.60 *
##                            6961) sdbedrooms< 1.006619 8 1.845383e+10 347287.50 *
##                          3481) population>=1183 19 4.153068e+10 341068.50 *
##                        1741) longitude< -122.105 34 1.584261e+11 382500.10  
##                          3482) latitude>=37.675 22 1.020210e+11 358872.80  
##                            6964) longitude>=-122.455 11 2.696260e+10 322481.80 *
##                            6965) longitude< -122.455 11 4.592375e+10 395263.70 *
##                          3483) latitude< 37.675 12 2.160751e+10 425816.80 *
##                       871) latitude< 34.165 28 1.049643e+11 421832.40  
##                        1742) longitude>=-118.375 7 2.046414e+10 373014.40 *
##                        1743) longitude< -118.375 21 6.225707e+10 438105.00  
##                          3486) latitude>=33.96 12 2.785386e+10 413608.40 *
##                          3487) latitude< 33.96 9 1.760089e+10 470767.10 *
##                 109) medianIncome>=6.5685 68 3.484572e+11 402297.20  
##                   218) housingMedianAge< 34.5 45 2.159150e+11 382331.20  
##                     436) sdbedrooms< 0.996309 16 7.112102e+10 346068.80 *
##                     437) sdbedrooms>=0.996309 29 1.121467e+11 402338.00  
##                       874) population>=777.5 22 7.902274e+10 391077.30  
##                        1748) sdbedrooms>=1.023652 11 3.866401e+10 361236.40 *
##                        1749) sdbedrooms< 1.023652 11 2.076811e+10 420918.30 *
##                       875) population< 777.5 7 2.156668e+10 437728.90 *
##                   219) housingMedianAge>=34.5 23 7.950541e+10 441361.20  
##                     438) medianIncome< 6.66095 9 3.304613e+10 405811.10 *
##                     439) medianIncome>=6.66095 14 2.777295e+10 464214.90 *
##                55) housingMedianAge>=39.5 107 7.115548e+11 408180.60  
##                 110) latitude>=37.8 25 1.372962e+11 367368.10  
##                   220) longitude>=-122.235 7 3.756178e+10 317542.90 *
##                   221) longitude< -122.235 18 7.559848e+10 386744.60 *
##                 111) latitude< 37.8 82 5.199214e+11 420623.50  
##                   222) longitude>=-118.415 43 2.775926e+11 391121.10  
##                     444) latitude>=34.155 11 8.083999e+10 336927.40 *
##                     445) latitude< 34.155 32 1.533407e+11 409750.20  
##                       890) latitude< 34.05 19 9.137053e+10 385063.30 *
##                       891) latitude>=34.05 13 3.346703e+10 445831.00 *
##                   223) longitude< -118.415 39 1.636365e+11 453151.80  
##                     446) medianIncome< 6.35185 20 9.034138e+10 429325.20  
##                       892) housingMedianAge< 49.5 13 5.041017e+10 398169.30 *
##                       893) housingMedianAge>=49.5 7 3.876911e+09 487186.30 *
##                     447) medianIncome>=6.35185 19 4.998937e+10 478232.30 *
##           7) medianIncome>=7.11015 798 5.681139e+12 431752.10  
##            14) medianIncome< 7.8141 268 2.032762e+12 377286.40  
##              28) housingMedianAge< 26.5 159 9.247969e+11 343186.20  
##                56) longitude>=-122.025 131 6.641152e+11 331047.40  
##                 112) population< 386 12 1.163472e+11 263350.10 *
##                 113) population>=386 119 4.872271e+11 337874.00  
##                   226) longitude>=-117.235 16 6.496844e+10 294287.50 *
##                   227) longitude< -117.235 103 3.871404e+11 344644.70  
##                     454) sdbedrooms< 1.11106 94 2.743545e+11 337829.80  
##                       908) medianIncome< 7.72755 83 2.012290e+11 331335.00  
##                        1816) longitude>=-117.875 26 3.555382e+10 312265.40  
##                          3632) medianIncome< 7.24665 7 2.861914e+09 278228.60 *
##                          3633) medianIncome>=7.24665 19 2.159465e+10 324805.30 *
##                        1817) longitude< -117.875 57 1.519076e+11 340033.40  
##                          3634) longitude< -119.825 32 7.117434e+10 321646.90  
##                            7268) longitude>=-121.79 7 1.972105e+10 281214.30 *
##                            7269) longitude< -121.79 25 3.680553e+10 332968.00  
##                             14538) sdrooms< 7.574982 14 2.141607e+10 322307.10 *
##                             14539) sdrooms>=7.574982 11 1.177321e+10 346536.40 *
##                          3635) longitude>=-119.825 25 5.606816e+10 363568.10  
##                            7270) population>=1303.5 18 1.258439e+10 348494.40 *
##                            7271) population< 1303.5 7 2.887712e+10 402328.90 *
##                       909) medianIncome>=7.72755 11 4.320611e+10 386836.50 *
##                     455) sdbedrooms>=1.11106 9 6.282355e+10 415822.70 *
##                57) longitude< -122.025 28 1.510677e+11 399978.80  
##                 114) medianIncome< 7.26445 7 1.445975e+10 315771.40 *
##                 115) medianIncome>=7.26445 21 7.042649e+10 428047.90  
##                   230) housingMedianAge< 20 10 2.774842e+10 390840.10 *
##                   231) housingMedianAge>=20 11 1.624829e+10 461873.10 *
##              29) housingMedianAge>=26.5 109 6.533780e+11 427028.70  
##                58) latitude>=37.59 19 9.352760e+10 363552.70 *
##                59) latitude< 37.59 90 4.671338e+11 440429.20  
##                 118) sdbedrooms< 1.008487 36 2.764711e+11 411772.40  
##                   236) longitude>=-118.3 12 1.173012e+11 358216.80 *
##                   237) longitude< -118.3 24 1.075422e+11 438550.20  
##                     474) population>=989.5 10 7.339537e+10 407910.10 *
##                     475) population< 989.5 14 1.805277e+10 460436.10 *
##                 119) sdbedrooms>=1.008487 54 1.413900e+11 459533.80  
##                   238) population>=900.5 30 9.193934e+10 444390.30  
##                     476) population< 1132.5 11 4.765722e+10 412227.40 *
##                     477) population>=1132.5 19 2.631532e+10 463010.90 *
##                   239) population< 900.5 24 3.397116e+10 478463.10  
##                     478) longitude>=-118.395 12 2.635757e+10 462217.20 *
##                     479) longitude< -118.395 12 1.279244e+09 494709.10 *
##            15) medianIncome>=7.8141 530 2.451337e+12 459293.30  
##              30) housingMedianAge< 20.5 168 9.529151e+11 421527.70  
##                60) medianIncome< 9.07295 97 4.792563e+11 387658.90  
##                 120) sdbedrooms< 0.9688072 12 5.598800e+10 333475.00 *
##                 121) sdbedrooms>=0.9688072 85 3.830639e+11 395308.40  
##                   242) longitude>=-117.855 33 9.687741e+10 363527.30  
##                     484) medianIncome< 8.00925 10 2.536026e+10 325220.00 *
##                     485) medianIncome>=8.00925 23 5.046247e+10 380182.60  
##                       970) population< 1633.5 13 2.066656e+10 364084.60 *
##                       971) population>=1633.5 10 2.204747e+10 401110.00 *
##                   243) longitude< -117.855 52 2.317027e+11 415477.10  
##                     486) population>=825.5 41 1.827482e+11 403963.60  
##                       972) latitude>=34.255 26 1.200574e+11 387677.00  
##                        1944) longitude>=-121.48 7 5.039676e+10 332142.90 *
##                        1945) longitude< -121.48 19 4.011885e+10 408136.90 *
##                       973) latitude< 34.255 15 4.384009e+10 432193.70 *
##                     487) population< 825.5 11 2.326151e+10 458391.40 *
##                61) medianIncome>=9.07295 71 2.103757e+11 467799.20  
##                 122) latitude>=37.55 13 9.099585e+10 425277.30 *
##                 123) latitude< 37.55 58 9.060590e+10 477330.00  
##                   246) medianIncome< 11.03525 40 7.956865e+10 468553.10  
##                     492) longitude>=-117.62 7 1.710953e+10 429686.00 *
##                     493) longitude< -117.62 33 4.964147e+10 476797.60  
##                       986) sdbedrooms< 1.069176 18 3.766581e+10 460883.80 *
##                       987) sdbedrooms>=1.069176 15 1.946996e+09 495894.20 *
##                   247) medianIncome>=11.03525 18 1.108509e+09 496834.10 *
##              31) housingMedianAge>=20.5 362 1.147614e+12 476819.80  
##                62) population< 58.5 7 1.262662e+11 311614.60 *
##                63) population>=58.5 355 8.265316e+11 480077.40  
##                 126) medianIncome< 8.79485 139 4.736620e+11 459544.40  
##                   252) housingMedianAge< 27.5 39 1.625901e+11 417584.90  
##                     504) sdbedrooms< 1.006616 15 4.954047e+10 384766.80 *
##                     505) sdbedrooms>=1.006616 24 8.679716e+10 438096.20  
##                      1010) latitude>=34.145 15 4.039553e+10 420773.40 *
##                      1011) latitude< 34.145 9 3.439850e+10 466967.40 *
##                   253) housingMedianAge>=27.5 100 2.156294e+11 475908.70  
##                     506) latitude>=37.8 17 4.515812e+10 435047.30 *
##                     507) latitude< 37.8 83 1.362736e+11 484277.90  
##                      1014) longitude>=-117.985 7 3.339768e+10 436843.30 *
##                      1015) longitude< -117.985 76 8.567491e+10 488646.90  
##                        2030) sdrooms< 6.164576 7 3.859083e+10 454257.60 *
##                        2031) sdrooms>=6.164576 69 3.796589e+10 492135.60  
##                          4062) sdbedrooms< 1.014645 24 2.833901e+10 482375.70  
##                            8124) population>=850 13 2.307873e+10 469692.80 *
##                            8125) population< 850 11 6.978729e+08 497364.50 *
##                          4063) sdbedrooms>=1.014645 45 6.121431e+09 497340.90 *
##                 127) medianIncome>=8.79485 216 2.565548e+11 493290.80  
##                   254) sdbedrooms< 0.8691995 7 1.277977e+11 418715.00 *
##                   255) sdbedrooms>=0.8691995 209 8.852236e+10 495788.50  
##                     510) medianIncome< 10.12615 72 8.146550e+10 487773.10  
##                      1020) longitude>=-118.04 7 1.918159e+10 456457.70 *
##                      1021) longitude< -118.04 65 5.468009e+10 491145.50  
##                        2042) latitude>=37.65 10 1.827047e+10 468490.60 *
##                        2043) latitude< 37.65 55 3.034400e+10 495264.60  
##                          4086) population< 734 15 2.705373e+10 482634.10 *
##                          4087) population>=734 40 0.000000e+00 500001.00 *
##                     511) medianIncome>=10.12615 137 0.000000e+00 500001.00 *
## 
## Call:
##  randomForest(formula = medianHouseValue ~ longitude + latitude +      housingMedianAge + sdrooms + sdbedrooms + population + medianIncome,      data = cahousing_train, importance = TRUE) 
##                Type of random forest: regression
##                      Number of trees: 500
## No. of variables tried at each split: 2
## 
##           Mean of squared residuals: 2638134924
##                     % Var explained: 80.03
## Distribution not specified, assuming gaussian ...
## gbm(formula = medianHouseValue ~ longitude + latitude + housingMedianAge + 
##     sdrooms + sdbedrooms + population + medianIncome, data = cahousing_train)
## A gradient boosted model with gaussian loss function.
## 100 iterations were performed.
## There were 7 predictors of which 6 had non-zero influence.

Now, we estimate their RMSE to find out which model is our best predictive model.

## [1] 72956.15
## [1] 70096.2
## [1] 61913.63
## [1] 52122.9
## [1] 74014.25

According to our results, we can find the Random Forecast model has lower RMSE, so we use this to build our best predictive model.

We can find that above graphs are perform well, because Figure1: Actual Median House Value in California are almost match with Figure 4-2: Prediction Value in California. Therefore, we can indicate the random forest is the best predictive model in this case. In conclusion, our predictive model is effective, then we may use this predictive model to forecast other states or area in United State.